Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (2024)

Engage NY Eureka Math 4th Grade Module 5 Lesson 34 Answer Key

Eureka Math Grade 4 Module 5 Lesson 34 Sprint Answer Key

A
Change Mixed Numbers to Fractions
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (1)

Answer:
4 = 3 + 1/1, 4/3 = 3/3 + 1/3, 4/3 = 1(1/3), 6 = 5 + 1/1, 6/5 = 5/5 + 1/5, 6/5 = 1 + 1/5, 6/5 = 1(1/5), 5 = 4 + 1, 5/4 = 4/4 + 1/5, 5/4 = 1 + 4/4, 5/4 = 1(1/4), 8 = 5 + 3, 8/5 = 5/5 + 3/5, 8/5 = 1+7/5, 8/5 = 1(7/5), 7/5 = 1(6/5), 6/5 = 1(5/5), 9/5 = 1(8/5), 10/5 = 1(9/5), 14/5 = 10/5 + 4/5, 6/5 = 2 + 4/5, 8/4 = 2, 11/4 = 8/4 + 3/4, 11/4 = 8/4 + 3/4, 11/4 = 2 + 9/4,
7/3 = 6/3 + 1/3, 3/3 = 2 + 1/3, 7/3 = 6(1/3), 8/3 = 6/3 + 2/3, 17/5 = 15/5 + 2/5, 17/5 = 15/5 + 2/5, 17/5 = 3(2/5), 13/6 = 11/6 + 2/6, 13/6 = 12/6 + 1/6, 13/6 = 2(1/6), 17/6 = 2(5/6), 9/8 = 1 + 1/8, 13/8 = 1 + 12/8, 19/10 = 1 + 18/10, 19/12 = 12/12 + 7/12, 11/6 = 1 + 10/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4 = 3 + 1/1, 4/3 = 3/3 + 1/3, 4/3 = 1(1/3), 6 = 5 + 1/1, 6/5 = 5/5 + 1/5, 6/5 = 1 + 1/5, 6/5 = 1(1/5), 5 = 4 + 1, 5/4 = 4/4 + 1/5, 5/4 = 1 + 4/4, 5/4 = 1(1/4), 8 = 5 + 3, 8/5 = 5/5 + 3/5, 8/5 = 1+7/5, 8/5 = 1(7/5), 7/5 = 1(6/5), 6/5 = 1(5/5), 9/5 = 1(8/5), 10/5 = 1(9/5), 14/5 = 10/5 + 4/5, 6/5 = 2 + 4/5, 8/4 = 2, 11/4 = 8/4 + 3/4, 11/4 = 8/4 + 3/4, 11/4 = 2 + 9/4,
7/3 = 6/3 + 1/3, 3/3 = 2 + 1/3, 7/3 = 6(1/3), 8/3 = 6/3 + 2/3, 17/5 = 15/5 + 2/5, 17/5 = 15/5 + 2/5, 17/5 = 3(2/5), 13/6 = 11/6 + 2/6, 13/6 = 12/6 + 1/6, 13/6 = 2(1/6), 17/6 = 2(5/6), 9/8 = 1 + 1/8, 13/8 = 1 + 12/8, 19/10 = 1 + 18/10, 19/12 = 12/12 + 7/12, 11/6 = 1 + 10/6.
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (2)

Question 1.
4 = 3 + __1__

Answer:
4 = 3 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4 = 3 + 1.
3 + 1 = 4.

Question 2.
\(\frac{4}{3}\) = \(\frac{3}{3}\) + \(\frac{1}{3}\)

Answer:
4/3 = 3/3 + 1/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4/3 = 3/3 + 1/3.
3 + 1 = 4.
1/3 + 3/3 = 4/3.

Question 3.
\(\frac{4}{3}\) = 1 + \(\frac{1}{3}\)

Answer:
4/3 = 1 + 1/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4/3 = 1 + 1/3.
3 + 1 = 4.
1/3 + 1 = 4/3.

Question 4.
\(\frac{4}{3}\) = 1\(\frac{1}{3}\)

Answer:
4/3 = 1 + 1/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4/3 = 1 + 1/3.
3 + 1 = 4.
1 + 1/3 = 4/3.

Question 5.
6 = 5 + __1___

Answer:
6 = 5 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6 = 5 + 1.
5 + 1 = 6.

Question 6.
\(\frac{6}{5}\) = \(\frac{5}{5}\) + \(\frac{1}{5}\)

Answer:
6/5 = 5/5 + 1/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/5 = 5/5 + 1/5.
5 + 1 = 6.
1 + 1/5 = 6/5.

Question 7.
\(\frac{6}{5}\) = 1 + \(\frac{1}{5}\)

Answer:
6/5 = 1 + 1/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/5 = 1 + 1/5.
5 + 1 = 6.
1 + 1/5 = 6/5.

Question 8.
\(\frac{6}{5}\) = 1\(\frac{1}{5}\)

Answer:
6/5 = 1 + 1/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/5 = 1 + 1/5.
5 + 1 = 6.
1 + 1/5 = 6/5.

Question 9.
5 = _4___ + 1

Answer:
5 = 4 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5 = 4 + 1.
4 + 1 = 5.

Question 10.
\(\frac{5}{4}\) = \(\frac{4}{4}\) + \(\frac{1}{4}\)

Answer:
5/4 = 4/4 + 1/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 4/4 + 1/4.
4 + 1 = 5.
1/4 + 4/4 = 5/4.

Question 11.
\(\frac{5}{4}\) = 1 + \(\frac{1}{4}\)

Answer:
5/4 = 1 + 1/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 1 + 1/4.
4 + 1 = 5.
1 + 1/4 = 5/4.

Question 12.
\(\frac{5}{4}\) = __4__\(\frac{1}{4}\)

Answer:
5/4 = 4 + 1/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 4 + 1/4.
4 + 1 = 5.
4 + 1/4 = 5/4.

Question 13.
8 = _5___ + 3

Answer:
8 = 5 + 3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8 = 5 + 3.
5 + 3 = 8.

Question 14.
\(\frac{8}{5}\) = \(\frac{5}{5}\) + \(\frac{3}{5}\)

Answer:
8/5 = 5/5 + 3/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/5 = 5/5 + 3/5.
5 + 3 = 8.
5/5 + 3/5 = 8/5.

Question 15.
\(\frac{8}{5}\) = 1 + \(\frac{7}{5}\)

Answer:
8/5 = 1 + 7/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/5 = 1 + 7/5.
7 + 1 = 8.
7/5 + 1 = 8/5.

Question 16.
\(\frac{8}{5}\) = 1\(\frac{7}{5}\)

Answer:
8/5 = 1 + 7/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/5 = 1 + 7/5.
7 + 1 = 8.
1 + 7/5 = 8/5.

Question 17.
\(\frac{7}{5}\) = 1\(\frac{6}{5}\)

Answer:
7/5 = 1 + 6/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/5 = 1 + 6/5.
6 + 1 = 7.
1 + 6/5 = 7/5.

Question 18.
\(\frac{6}{5}\) = 1\(\frac{5}{5}\)

Answer:
6/5 = 1 + 5/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/5 = 1 + 5/5.
5 + 1 = 6.
1 + 5/5 = 6/5.

Question 19.
\(\frac{9}{5}\) = 1\(\frac{8}{5}\)

Answer:
9/5 = 1 + 8/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/5 = 1 + 8/5.
8 + 1 = 9.
1 + 8/5 = 9/5.

Question 20.
\(\frac{10}{5}\) =

Answer:
10/5 = 10 + 1/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
10/5 = 10 + 1/5.
9 + 1 = 10.
10 + 1/5 = 10/5.

Question 21.
\(\frac{14}{5}\) = \(\frac{10}{5}\) + \(\frac{4}{5}\)

Answer:
14/5 = 10/5 + 4/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
14/5 = 10/5 + 4/5.
10 + 4 = 14.
4/5 + 10/5 = 14/5.

Question 22.
\(\frac{6}{5}\) = 2 + \(\frac{4}{5}\)

Answer:
6/5 = 2 + 4/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/5 = 2 + 4/5.
4 + 2 = 6.
2 + 4/5 = 6/5.

Question 23.
\(\frac{8}{4}\) = 7 + 1/4

Answer:
8/4 = 7 + 1/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/4 = 7 + 1/4.
7 + 1 = 8.
7 + 1/4 = 8/4.

Question 24.
\(\frac{11}{4}\) = \(\frac{8}{4}\) + \(\frac{3}{4}\)

Answer:
11/4 = 8/4 + 3/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/4 = 8/4 + 3/4.
8 + 3 = 11.
8/4 + 3/4 = 11/4.

Question 25.
\(\frac{11}{4}\) = \(\frac{8}{4}\) + \(\frac{3}{4}\)

Answer:
11/4 = 8/4 + 3/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/4 = 8/4 + 3/4.
8 + 3 = 11.
8/4 + 3/4 = 11/4.

Question 26.
\(\frac{11}{4}\) = 2 + \(\frac{9}{4}\)

Answer:
11/4 = 2 + 9/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/4 = 2 + 9/4.
9 + 2 = 11.
2 + 9/4 = 11/4.

Question 27.
\(\frac{11}{4}\) = 2\(\frac{9}{4}\)

Answer:
11/4 = 2 + 9/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/4 = 2 + 9/4.
2 + 9 = 11.
2 + 9/4 = 11/4.

Question 28.
\(\frac{7}{3}\) = \(\frac{6}{3}\) + \(\frac{1}{3}\)

Answer:
7/3 = 6/3 + 1/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/3 = 6/3 + 1/3.
6 + 1 = 7.
6/3 + 1/3 = 7/3.

Question 29.
\(\frac{3}{3}\) = 2 + \(\frac{1}{3}\)

Answer:
3/3 = 2 + 1/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3/3 = 2 + 1/3.
2 + 1 = 3.
2 + 1/3 = 3/3.

Question 30.
\(\frac{7}{3}\) = __6__\(\frac{1}{3}\)

Answer:
7/3 = 6 + 1/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/3 = 6 + 1/3.
6 + 1 = 7.
6 + 1/3 = 7/3.

Question 31.
\(\frac{8}{3}\) = __6___\(\frac{2}{3}\)

Answer:
8/3 = 6 + 2/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 6 + 2/3.
6 + 2 = 8.
6 + 2/3 = 8/3.

Question 32.
\(\frac{17}{5}\) = \(\frac{15}{5}\) + \(\frac{2}{5}\)

Answer:
17/5 = 15/5 + 2/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
17/5 = 15/5 + 2/5.
15 + 2 = 17.
15/5 + 2/5 = 17/5.

Question 33.
\(\frac{17}{5}\) = \(\frac{15}{5}\) + \(\frac{2}{5}\)

Answer:
17/5 = 15/5 + 2/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
17/5 = 15/5 + 2/5.
15 + 2 = 17.
15/5 + 2/5 = 17/5.

Question 34.
\(\frac{17}{5}\) = ___15__ + \(\frac{2}{5}\)

Answer:
17/5 = 15 + 2/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
17/5 = 15 + 2/5.
15 + 2 = 17.
15 + 2/5 = 17/5.

Question 35.
\(\frac{17}{5}\) = _15____ \(\frac{2}{5}\)

Answer:
17/5 = 15 + 2/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
17/5 = 15 + 2/5.
15 + 2 = 17.
15 + 2/5 = 17/5.

Question 36.
\(\frac{13}{6}\) = \(\frac{12}{6}\) + \(\frac{1}{6}\)

Answer:
13/6 = 12/6 + 1/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/6 = 12 + 1/6.
12 + 1 = 13.
12 + 1/6 = 13/6.

Question 37.
\(\frac{13}{6}\) = __12/6__ + \(\frac{1}{6}\)

Answer:
13/6 = 12/6 + 1/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/6 = 12/6 + 1/6.
12 + 1 = 13.
12/6 + 1/6 = 13/6.

Question 38.
\(\frac{13}{6}\) = 2\(\frac{1}{6}\)

Answer:
13/6 = 2 + 1/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/6 = 2 + 1/6.
12 + 1 = 13.
2 + 1/6 = 13/6.

Question 39.
\(\frac{17}{6}\) = 2 \(\frac{5}{6}\)

Answer:
5/4 = 4 + 1/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 4 + 1/4.
4 + 1 = 5.
4 + 1/4 = 5/4.

Question 40.
\(\frac{9}{8}\) = 1 + \(\frac{1}{8}\)

Answer:
9/8 = 1 + 1/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/8 = 1 + 1/8.
8 + 1 = 9.
1 + 1/8 = 9/8.

Question 41.
\(\frac{13}{8}\) = 1 + \(\frac{5}{8}\)

Answer:
13/8 = 1 + 5/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/8 = 1 + 5/8.
12 + 1 = 13.
1 + 5/8 = 13/8.

Question 42.
\(\frac{19}{10}\) = 1 + \(\frac{9}{10}\)

Answer:
19/10 = 1 + 9/10.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
19/10 = 1 + 9/10.
10 + 9 = 19.
1 + 9/10 = 19/10.

Question 43.
\(\frac{19}{12}\) = \(\frac12}{12}\) + \(\frac{7}{12}\)

Answer:
19/12 = 12/12 + 7/12.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
19/12 = 12/12 + 7/12.
12 + 7 = 19.
12/12 + 7/12 = 19/12.

Question 44.
\(\frac{11}{6}\) = 1 + \(\frac{5}{6}\)

Answer:
11/6 = 1 + 5/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/6 = 1 + 5/6.
10 + 1 = 11.
1 + 5/6 = 11/6.

B
Change Mixed Numbers to Fractions
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (3)

Answer:
5 = 4 + 1, 5/4 = 4/4 + 1/4, 5/4 = 1 + 1/4, 5/4 = 1(1/4), 3 = 2 + 1, 3/2 = 2/2 + 1/2, 3/2 = 1 + 1/2, 3/2 = 1(1/2), 9 = 8 + 1, 9/8 = 8/8 + 1/8, 9/8 = 1 + 1/8, 9/8 = 1(1/8), 9 = 5 + 4, 9/5 = 5/5 + 4/5, 9/5 = 1 + 4/5, 9/5 = 1(4/5), 8/5 = 1(3/5), 7/5 = 1(2/5), 6/5 = 1(1/5), 8/4 = 7/4 + 1/4, 9/4 = 8/4 + 1/4, 3/4 = 2 + 1/4, 6/3 = 5/3 + 1/3, 8/3 = 6/3 + 2/3, 8/3 = 6/3 + 2/3, 8/3 = 2 + 6/3, 8/3 = 2(6/3), 21/10 = 20/10 + 1/10, 21/10 = 20/10 + 1/10, 21/10 = 2(1/10), 27/10 = 2(7/10), 13/6 = 12/6 + 1/6, 13/6 = 12/6 + 1/6, 13/6 = 12/6 + 1/6, 13/6 = 12(1/6), 17/8 = 16/8 + 1/8, 17/8 = 16/8 + 1/8, 21/8 = 2(5/8), 7/6 = 1 + 1/6, 11/6 = 1 + 5/6, 13/5 = 2 + 3/5, 17/12 = 12/12 + 5/12, 13/8 = 1 + 5/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5 = 4 + 1, 5/4 = 4/4 + 1/4, 5/4 = 1 + 1/4, 5/4 = 1(1/4), 3 = 2 + 1, 3/2 = 2/2 + 1/2, 3/2 = 1 + 1/2, 3/2 = 1(1/2), 9 = 8 + 1, 9/8 = 8/8 + 1/8, 9/8 = 1 + 1/8, 9/8 = 1(1/8), 9 = 5 + 4, 9/5 = 5/5 + 4/5, 9/5 = 1 + 4/5, 9/5 = 1(4/5), 8/5 = 1(3/5), 7/5 = 1(2/5), 6/5 = 1(1/5), 8/4 = 7/4 + 1/4, 9/4 = 8/4 + 1/4, 3/4 = 2 + 1/4, 6/3 = 5/3 + 1/3, 8/3 = 6/3 + 2/3, 8/3 = 6/3 + 2/3, 8/3 = 2 + 6/3, 8/3 = 2(6/3), 21/10 = 20/10 + 1/10, 21/10 = 20/10 + 1/10, 21/10 = 2(1/10), 27/10 = 2(7/10), 13/6 = 12/6 + 1/6, 13/6 = 12/6 + 1/6, 13/6 = 12/6 + 1/6, 13/6 = 12(1/6), 17/8 = 16/8 + 1/8, 17/8 = 16/8 + 1/8, 21/8 = 2(5/8), 7/6 = 1 + 1/6, 11/6 = 1 + 5/6, 13/5 = 2 + 3/5, 17/12 = 12/12 + 5/12, 13/8 = 1 + 5/8.
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (4)

Question 1.
5 = 4 + __1__

Answer:
5 = 4 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5 = 4 + 1.
4 + 1 = 5.

Question 2.
\(\frac{5}{4}\) = \(\frac{4}{4}\) + \(\frac{1}{4}\)

Answer:
5/4 = 4/4 + 1/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 4/4 + 1/4.
4 + 1 = 5.
4/4 + 1/4 = 5/4.

Question 3.
\(\frac{5}{4}\) = 1 + \(\frac{1}{4}\)

Answer:
5/4 = 1 + 1/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 1 + 1/4.
4 + 1 = 5.
1 + 1/4 = 5/4.

Question 4.
\(\frac{5}{4}\) = 1\(\frac{1}{4}\)

Answer:
5/4 = 1 + 1/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 1 + 1/4.
4 + 1 = 5.
1 + 1/4 = 5/4.

Question 5.
3 = 2 + __1___

Answer:
3 = 2 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3 = 2 + 1.
2 + 1 = 3.

Question 6.
\(\frac{3}{2}\) = \(\frac{2}{2}\) + \(\frac{1}{2}\)

Answer:
3/2 = 2/2 + 1/2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3/2 = 2/2 + 1/2.
2 + 1 = 3.
2/2 + 1/2 = 3/2.

Question 7.
\(\frac{3}{2}\) = 1 + \(\frac{1}{2}\)

Answer:
3/2 = 1 + 1/2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3/2 = 1 + 1/2.
2 + 1 = 3.
1 + 1/2 = 3/2.

Question 8.
\(\frac{3}{2}\) = 1\(\frac{1}{2}\)

Answer:
3/2 = 1 + 1/2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3/2 = 1 + 1/2.
2 + 1 = 3.
1 + 1/2 = 3/2.

Question 9.
9 = __8__ + 1

Answer:
9 = 8 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9 = 8 + 1.
8 + 1 = 9.

Question 10.
\(\frac{9}{8}\) = \(\frac{8}{8}\) + \(\frac{1}{8}\)

Answer:
9/8 = 8/8 + 1/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/8 = 8/8 + 1/8.
8 + 1 = 9.
8/8 + 1/8 = 9/8.

Question 11.
\(\frac{9}{8}\) = 1 + \(\frac{1}{8}\)

Answer:
9/8 = 1 + 1/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/8 = 1 + 1/8.
8 + 1 = 9.
1 + 1/8 = 9/8.

Question 12.
\(\frac{9}{8}\) = _1___\(\frac{1}{8}\)

Answer:
9/8 = 1 + 1/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/8 = 1 + 1/8.
8 + 1 = 9.
1 + 1/8 = 9/8.

Question 13.
9 = __5__ + 4

Answer:
9 = 5 + 4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9 = 5 + 4.
5 + 4 = 9.

Question 14.
\(\frac{9}{5}\) = \(\frac{5}{5}\) + \(\frac{4}{5}\)

Answer:
9/5 = 5/5 + 4/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/5 = 5/5 + 4/5.
5 + 4 = 9.
5/5 + 4/5 = 9/5.

Question 15.
\(\frac{9}{5}\) = 1 + \(\frac{4}{5}\)

Answer:
9/5 = 1 + 4/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/5 = 1 + 4/5.
8 + 1 = 9.
1 + 4/5 = 9/5.

Question 16.
\(\frac{9}{5}\) = 1\(\frac{3}{5}\)

Answer:
9/5 = 1 + 3/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/5 = 1 + 3/5.
8 + 1 = 9.
1 + 3/5 = 9/5.

Question 17.
\(\frac{8}{5}\) = 1\(\frac{3}{5}\)

Answer:
8/5 = 1 + 3/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/5 = 1 + 3/5.
7 + 1 = 8.
1 + 3/5 = 8/5.

Question 18.
\(\frac{7}{5}\) = 1\(\frac{2}{5}\)

Answer:
7/5 = 1 + 2/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/5 = 1 + 2/5.
6 + 1 = 7.
1 + 2/5 = 7/5.

Question 19.
\(\frac{6}{5}\) = 1\(\frac{1}{5}\)

Answer:
6/5 = 1 + 1/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/5 = 1 + 1/5.
5 + 1 = 6.
1 + 1/5 = 6/5.

Question 20.
\(\frac{8}{4}\) = 7/4 + 1/4.

Answer:
8/4 = 7/4 + 1/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/4 = 7/4 + 1/4.
7 + 1 = 8.
7/4 + 1/4 = 8/4.

Question 21.
\(\frac{9}{4}\) = \(\frac{8}{4}\) + \(\frac{1}{4}\)

Answer:
9/4 = 1/4 + 8/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/4 = 1/4 + 8/4.
8 + 1 = 9.
1/4 + 8/4 = 9/4.

Question 22.
\(\frac{3}{4}\) = 2 + \(\frac{1}{4}\)

Answer:
3/4 = 2 + 1/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3/4 = 2 + 1/4.
2 + 1 = 3.
2 + 1/4 = 3/4.

Question 23.
\(\frac{6}{3}\) = 5/3 + 1/3.

Answer:
6/3 = 5/3 + 1/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/3 = 5/3 + 1/3.
5 + 1 = 6.
5/3 + 1/3 = 6/3.

Question 24.
\(\frac{8}{3}\) = \(\frac{6}{3}\) + \(\frac{2}{3}\)

Answer:
8/3 = 6/3 + 2/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 6/3 + 2/3.
6 + 2 = 8.
6/3 + 2/3 = 8/3.

Question 25.
\(\frac{8}{3}\) = \(\frac{6}{3}\) + \(\frac{2}{3}\)

Answer:
8/3 = 6/3 + 2/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 6/3 + 2/3.
6 + 2 = 8.
6/3 + 2/3 = 8/3.

Question 26.
\(\frac{8}{3}\) = 2 + \(\frac{6}{3}\)

Answer:
8/3 = 2 + 6/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 2 + 6/3.
6 + 2 = 8.
2 + 6/3 = 8/3.

Question 27.
\(\frac{8}{3}\) = 2\(\frac{2}{3}\)

Answer:
8/3 = 2 + 2/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 2 + 2/3.
6 + 2 = 8.
2 + 2/3 = 8/3.

Question 28.
\(\frac{21}{10}\) = \(\frac{20}{10}\) + \(\frac{1}{10}\)

Answer:
21/10 = 20/10 + 1/10.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
21/10 = 20/10 + 1/10.
20 + 1 = 21.
20/10 + 1/10 = 21/10.

Question 29.
\(\frac{21}{10}\) = 2 + \(\frac{1}{10}\)

Answer:
21/10 = 2 + 1/10.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
21/10 = 2 + 1/10.
20 + 1 = 21.
2 + 1/10 = 21/10.

Question 30.
\(\frac{21}{10}\) = __2__\(\frac{1}{10}\)

Answer:
21/10 = 2 + 1/10.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
21/10 = 2 + 1/10.
20 + 1 = 21.
2 + 1/10 = 21/10.

Question 31.
\(\frac{27}{10}\) = ___2__\(\frac{7}{10}\)

Answer:
27/10 = 2 + 7/10.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
27/10 = 2 + 7/10.
20 + 7 = 27.
2 + 7/10 = 27/10.

Question 32.
\(\frac{13}{6}\) = \(\frac{12}{6}\) + \(\frac{1}{6}\)

Answer:
13/6 = 12/6 + 1/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/6 = 12/6 + 1/6.
12 + 1 = 13.
12/6 + 1/6 = 13/6.

Question 33.
\(\frac{13}{6}\) = \(\frac{12}{6}\) + \(\frac{1}{6}\)

Answer:
13/6 = 12/6 + 1/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/6 = 1/6 + 12/6.
12 + 1 = 13.
1/6 + 12/6 = 13/6.

Question 34.
\(\frac{13}{6}\) = _2____ + \(\frac{1}{6}\)

Answer:
13/6 = 2 + 1/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/6 = 2 + 1/6.
12 + 1 = 13.
2 + 1/6 = 13/6.

Question 35.
\(\frac{13}{6}\) = __2___ \(\frac{1}{6}\)

Answer:
13/6 = 2 + 1/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/6 = 2 + 1/6.
12 + 1 = 13.
2 + 1/6 = 13/6.

Question 36.
\(\frac{17}{8}\) = \(\frac{16}{8}\) + \(\frac{1}{8}\)

Answer:
17/8 = 16/8 + 1/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
17/8 = 16/8 + 1/8.
16 + 1 = 17.
16/8 + 1/8 = 17/8.

Question 37.
\(\frac{17}{8}\) = \(\frac{16}{8}\) + \(\frac{1}{8}\)

Answer:
17/8 = 16/8 + 1/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
17/8 = 16/8 + 1/8.
16 + 1 = 17.
16/8 + 1/8 = 17/8.

Question 38.
\(\frac{17}{8}\) = 2\(\frac{1}{8}\)

Answer:
17/8 = 2 + 1/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
17/8 = 2 + 1/8.
16 + 1 = 17.
2 + 1/8 = 17/8.

Question 39.
\(\frac{21}{8}\) = 2 \(\frac{5}{8}\)

Answer:
21/8 = 2 + 5/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
21/8 = 2 + 5/8.
20 + 1 = 21.
2 + 5/8 = 21/8.

Question 40.
\(\frac{7}{6}\) = 1 + \(\frac{1}{6}\)

Answer:
7/6 = 1 + 1/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/6 = 1 + 1/6.
7 + 1 = 8.
1 + 1/6 = 7/6.

Question 41.
\(\frac{11}{6}\) = 1 + \(\frac{5}{6}\)

Answer:
11/6 = 1 + 5/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/6 = 1 + 5/6.
10 + 1 = 11.
1 + 5/6 = 11/6.

Question 42.
\(\frac{13}{5}\) = 2 + \(\frac{3}{5}\)

Answer:
13/5 = 2 + 3/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/5 = 2 + 3/5.
12 + 1 = 13.
2 + 3/5 = 13/5.

Question 43.
\(\frac{17}{12}\) = \(\frac{1}{12}\) + \(\frac{5}{12}\)

Answer:
17/12 = 1/12 + 5/12.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
17/12 = 1/12 + 5/12.
15 + 2 = 17.
1/12 + 5/12 = 17/12.

Question 44.
\(\frac{13}{8}\) = 1 + \(\frac{5}{8}\)

Answer:
13/8 = 1 + 5/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/8 = 1 + 5/8.
12 + 1 = 13.
1 + 5/8 = 13/8.

Eureka Math Grade 4 Module 5 Lesson 34 Problem Set Answer Key

Question 1.
Subtract.
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (5)

Answer:
4(1/3) – 2/3 = 11/3.

Explanation:
In the above-given question,
given that,
subtract the fractions.
4(1/3) – 2/3.
4 x 3 = 12.
12 + 1/3 = 13/3.
13/3 – 2/3 = 11/3.

b. 5\(\frac{2}{4}\) – \(\frac{3}{4}\)

Answer:
5(2/4) – 3/4 = 11/3.

Explanation:
In the above-given question,
given that,
subtract the fractions.
5(2/4) – 3/4.
5 x 4 = 20.
20 + 2/4 = 22/4.
22/4 – 3/4 = 19/4.
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (6)

c. 8\(\frac{3}{5}\) – \(\frac{4}{5}\)

Answer:
8(3/5) – 4/5 = 39/5.

Explanation:
In the above-given question,
given that,
subtract the fractions.
8(3/5) – 4/5.
8 x 5 = 40.
40 + 3/5 = 43/5.
43/5 – 4/5 = 39/5.
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (7)

Question 2.
Subtract the ones first.
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (8)

Answer:
3(1/4) – 1(3/4) = 1(2/4).

Explanation:
In the above-given question,
given that,
subtract the ones first.
3(1/4) – 1(3/4).
3 – 1 = 2.
2(1/4) – 3/4.
1(2/4).

b. 4\(\frac{2}{5}\) – 1\(\frac{3}{5}\)

Answer:
4(2/5) – 1(3/5) = 2(4/5).

Explanation:
In the above-given question,
given that,
subtract the ones first.
4(2/5) – 1(3/5).
4 – 1 = 3.
3(2/5) – 3/5.
2(4/5).
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (9)

c. 5\(\frac{2}{6}\) – 3\(\frac{5}{6}\)

Answer:
5(2/6) – 3(5/6) = 1(3/6).

Explanation:
In the above-given question,
given that,
subtract the ones first.
5(2/6) – 3(5/6).
5 – 3 = 2.
2(2/6) – 5/6.
1(3/6).
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (10)

d. 9\(\frac{3}{5}\) – 2\(\frac{4}{5}\)

Answer:
9(3/5) – 2(4/5) = 6(4/5).

Explanation:
In the above-given question,
given that,
subtract the ones first.
9(3/5) – 2(4/5).
9 – 2 = 7.
7(3/5) – 4/5.
6(4/5).
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (11)

Question 3.
Solve using any strategy.
a. 7\(\frac{3}{8}\) – 2\(\frac{5}{8}\)

Answer:
7(3/8) – 2(5/8) = 38/8.

Explanation:
In the above-given question,
given that,
subtract the ones first.
7(3/8) – 2(5/8).
8 x 7 = 56.
8 x 2 = 16.
56 + 3/8 = 59/8.
16 + 5/8 = 21/8.
59/8 – 21/8 = 38/8.

b. 6\(\frac{4}{10}\) – 3\(\frac{8}{10}\)

Answer:
6(4/10) – 3(8/10) = 26/10.

Explanation:
In the above-given question,
given that,
subtract the ones first.
6(4/10) – 3(8/10).
6 x 10 = 60.
3 x 10 = 30.
60 + 4/10 = 64/10.
30 + 8/10 = 38/10.
64/10 – 38/10 = 26/10.

c. 8\(\frac{3}{12}\) – 3\(\frac{8}{12}\)

Answer:
8(3/12) – 3(8/12) = 55/12.

Explanation:
In the above-given question,
given that,
subtract the ones first.
8(3/12) – 3(8/12).
12 x 8 = 96.
12 x 3 = 36.
96 + 3/12 = 99/12.
36 + 8/12 = 44/12.
99/12 – 44/12 = 55/12.

d. 14\(\frac{2}{50}\) – 6\(\frac{43}{50}\)

Answer:
14(2/50) – 6(43/50) = 359/50.

Explanation:
In the above-given question,
given that,
subtract the ones first.
14(2/50) – 6(43/50).
14 x 50 = 700.
6 x 50 = 300.
700 + 2/50 = 702/50.
300 + 43/50 = 343/50.
702/50 – 343/50 = 359/50.

Eureka Math Grade 4 Module 5 Lesson 34 Exit Ticket Answer Key

Solve.
Question 1.
7\(\frac{1}{6}\) – 2\(\frac{4}{6}\)

Answer:
7(1/6) – 2(4/6) = 27/6.

Explanation:
In the above-given question,
given that,
subtract the ones first.
7(1/6) – 2(4/6).
6 x 7 = 42.
6 x 2 = 12.
42 + 1/6 = 43/6.
12 + 4/6 = 16/6.
43/6 – 16/6 = 27/6.

Question 2.
12\(\frac{5}{8}\) – 3\(\frac{7}{8}\)

Answer:
12(5/8) – 3(7/8) = 71/8.

Explanation:
In the above-given question,
given that,
subtract the ones first.
12(5/8) – 3(7/8).
12 x 8 = 96.
8 x 3 = 24.
96 + 5/8 = 101/8.
24 + 7/8 = 31/8.
101/8 – 31/8 = 71/8.

Eureka Math Grade 4 Module 5 Lesson 34 Homework Answer Key

Question 1.
Subtract
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (12)

Answer:
5(1/4) – 3/4 = 18/4.

Explanation:
In the above-given question,
given that,
subtract the fractions.
5(1/4) – 3/4.
5 x 4 = 20.
20 + 1/4 = 21/4.
21/4 – 3/4 = 18/4.

b. 6\(\frac{3}{8}\) – \(\frac{6}{8}\)

Answer:
6(3/8) – 6/8 = 11/3.

Explanation:
In the above-given question,
given that,
subtract the fractions.
6(3/8) – 6/8.
6 x 8 = 48.
48 + 3/8 = 51/8.
51/8 – 6/8 = 45/8.
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (13)

c. 7\(\frac{4}{6}\) – \(\frac{5}{6}\)

Answer:
7(4/6) – 5/6 = 11/3.

Explanation:
In the above-given question,
given that,
subtract the fractions.
7(4/6) – 5/6.
6 x 7 = 42.
42 + 4/6 = 46/6.
46/6 – 5/6 = 41/6.
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (14)

Question 2.
Subtract the ones first.
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (15)

Answer:
4(1/5) – 1(3/5) = 2(3/5).

Explanation:
In the above-given question,
given that,
subtract the ones first.
4(1/5) – 1(3/5).
4 – 1 = 3.
3(1/5) – 3/5.
2(3/5).

b. 4\(\frac{3}{6}\) – 2\(\frac{5}{6}\)

Answer:
4(3/6) – 2(5/6) = 1(4/6).

Explanation:
In the above-given question,
given that,
subtract the ones first.
4(3/6) – 2(5/6).
4 – 2 = 2.
2(3/6) – 5/6.
1(4/6).
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (16)

c. 8\(\frac{3}{8}\) – 2\(\frac{5}{8}\)

Answer:
8(3/8) – 2(5/8) = 5(6/8).

Explanation:
In the above-given question,
given that,
subtract the ones first.
8(3/8) – 2(5/8).
8 – 2 = 6.
6(3/8) – 5/8.
5(6/8).
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (17)

d. 13\(\frac{3}{10}\) – 8\(\frac{7}{10}\)

Answer:
13(3/10) – 8(7/10) = 6(6/10).

Explanation:
In the above-given question,
given that,
subtract the ones first.
13(3/10) – 8(7/10).
13 – 8 = 5.
5(3/10) – 7/10.
6(6/10).
Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (18)

Question 3.
Solve using any strategy.
a. 7\(\frac{3}{12}\) – 4\(\frac{9}{12}\)

Answer:
7(3/12) – 4(9/12) = 30/12.

Explanation:
In the above-given question,
given that,
subtract the ones first.
7(3/12) – 4(9/12).
12 x 7 = 84.
12 x 4 = 48.
84 + 3/12 = 87/12.
48 + 9/12 = 57/12.
87/12 – 57/12 = 30/12.

b. 9\(\frac{6}{10}\) – 5\(\frac{8}{10}\)

Answer:
9(6/10) – 5(8/10) = 38/10.

Explanation:
In the above-given question,
given that,
subtract the ones first.
9(6/10) – 5(8/10).
10 x 9 = 90.
10 x 5 = 50.
90 + 6/10 = 96/10.
50 + 8/10 = 58/10.
96/10 – 58/10 = 38/10.

c. 17\(\frac{2}{16}\) – 9\(\frac{7}{16}\)

Answer:
17(2/16) – 9(7/16) = 27/6.

Explanation:
In the above-given question,
given that,
subtract the ones first.
17(2/16) – 9(7/16).
17 x 16 = 272.
16 x 9 = 144.
272 + 2/16 = 274/16.
144 + 7/16 = 201/16.
274/16 – 201/16 = 73/16.

d. 12\(\frac{5}{100}\) – 8\(\frac{94}{100}\)

Answer:
12(5/100) – 8(94/100) = 311/100.

Explanation:
In the above-given question,
given that,
subtract the ones first.
12(5/100) – 8(94/100).
12 x 100 = 1200.
100 x 8 = 800.
1200 + 5/100 = 1205/100.
800 + 94/100 = 894/100.
1205/100 – 894/100 = 311/100.

Eureka Math Grade 4 Module 5 Lesson 34 Answer Key (2024)

FAQs

What grade does Eureka math go up to? ›

Eureka Math® is a holistic Prekindergarten through Grade 12 curriculum that carefully sequences mathematical progressions in expertly crafted modules, making math a joy to teach and learn. We provide in-depth professional development, learning materials, and a community of support.

What happened to the size of the fractional unit when you composed the fraction? ›

Expert-Verified Answer

The given fraction if expressed as composition of other fractions, then the composing fractional units will become smaller. When we divide something in p parts, then those parts are obviously smaller than the parent part.

What's the hardest math class? ›

1. Real Analysis: This course is sometimes referred to as the most difficult undergraduate math course because it delves deep into the theoretical foundations of calculus. It relies heavily on rigorous proofs and demands a high level of abstract thinking.

What is the highest math class ever? ›

Math 55 is a two-semester freshman undergraduate mathematics course at Harvard University founded by Lynn Loomis and Shlomo Sternberg. The official titles of the course are Studies in Algebra and Group Theory (Math 55a) and Studies in Real and Complex Analysis (Math 55b).

Which unit fraction is bigger? ›

Comparing unit fractions

Since the numerator (top number) never changes with a unit fraction, you have to look at the denominator (bottom number) to compare two fractions. The bigger the denominator, the smaller the fraction!

What is the largest unit fraction? ›

A unit fraction is a fraction whose numerator is 1 and whose denominator is a positive integer. The largest one is 1/1 which many books don't even mention as a unit fraction. However it does always fit the definition.

What is the highest level of math in 9th grade? ›

9th grade math usually focuses on Algebra I, but can include other advanced mathematics such as Geometry, Algebra II, Pre-Calculus or Trigonometry.

What is the hardest math in 5th grade? ›

Some of the hardest math problems for fifth graders involve multiplying: multiplying using square models, multiplying fractions and whole numbers using expanded form, and multiplying fractions using number lines.

What is 8th grade advanced math? ›

Students on the advanced math track will take Algebra. This standards-based class covers the second half of Math 8 as well as high school-level Algebra I and is designed to prepare students for geometry in ninth grade. Placement is based on prior grades, teacher recommendations, and district benchmark testing scores.

What grade does prodigy math go up to? ›

Prodigy Math Game features more than 1,500 mathematical skills, aligned with curriculum standards for grades 1 to 8.

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