## Engage NY Eureka Math 4th Grade Module 5 Lesson 33 Answer Key

### Eureka Math Grade 4 Module 5 Lesson 33 Sprint Answer Key

A
Change Mixed Numbers to Fractions

2 + 1 = 3, 2/2 + 1/2 = 3/2, 1 + 1/2 = 3/2, 1(1/2) = 3/2, 4 + 1 = 5, 4/4 + 1/4 = 5/4, 1 + 1/4 = 5/4, 1(1/4) = 5/4, 3 + 1 = 4, 3/3 + 1/3 = 4/3, 1 + 1/3 = 4/3, 1(1/3) = 4/3, 5/5 + 1/5 = 6/5, 1 + 1/5 = 6/5, 1(1/5) = 6/5, 1(2/5) = 7/5, 1(4/5) = 9/5, 1(3/5) = 8/5, 4/4 +3/4 = 7/4, 1 + 3/4 = 4/4, 6/6 + 5/6 = 11/6, 1 + 5/6 = 11/6, 1(5/6) = 11/6, 2 + 1/2 = 5/2, 4/2 + 1/2 = 5/2, 2 + 1/2 = 5/2, 2(1/2) = 5/2, 2 + 1/4 = 2(1/4), 8/4 + 1/4 = 9/4, 2 + 1/4 = 9/4, 2(1/4) = 9/4, 9/3 + 2/3 = 11/3, 3 + 2/3 = 11/3, 3(2/3) = 11/3, 16/4 + 3/4 = 19/4, 4 + 3/4 = 19/4, 4(3/4) = 19/4, 3 + 2/5 = 17/5, 4 + 1/2 = 9/2, 3 + 3/4 = 15/4, 3 + 1/6 = 19/6, 3 + 5/8 = 29/8, 3(4/5) = 19/5, 4(7/8) = 39/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
2 + 1 = 3, 2/2 + 1/2 = 3/2, 1 + 1/2 = 3/2, 1(1/2) = 3/2, 4 + 1 = 5, 4/4 + 1/4 = 5/4, 1 + 1/4 = 5/4, 1(1/4) = 5/4, 3 + 1 = 4, 3/3 + 1/3 = 4/3, 1 + 1/3 = 4/3, 1(1/3) = 4/3, 5/5 + 1/5 = 6/5, 1 + 1/5 = 6/5, 1(1/5) = 6/5, 1(2/5) = 7/5, 1(4/5) = 9/5, 1(3/5) = 8/5, 4/4 +3/4 = 7/4, 1 + 3/4 = 4/4, 6/6 + 5/6 = 11/6, 1 + 5/6 = 11/6, 1(5/6) = 11/6, 2 + 1/2 = 5/2, 4/2 + 1/2 = 5/2, 2 + 1/2 = 5/2, 2(1/2) = 5/2, 2 + 1/4 = 2(1/4), 8/4 + 1/4 = 9/4, 2 + 1/4 = 9/4, 2(1/4) = 9/4, 9/3 + 2/3 = 11/3, 3 + 2/3 = 11/3, 3(2/3) = 11/3, 16/4 + 3/4 = 19/4, 4 + 3/4 = 19/4, 4(3/4) = 19/4, 3 + 2/5 = 17/5, 4 + 1/2 = 9/2, 3 + 3/4 = 15/4, 3 + 1/6 = 19/6, 3 + 5/8 = 29/8, 3(4/5) = 19/5, 4(7/8) = 39/8.

Question 1.
2 + 1 = 3.

3 = 2 + 1.

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

Question 2.
$$\frac{2}{2}$$ + $$\frac{1}{2}$$ = $$\frac{1}{2}$$

2/2 = 1/2 + 1/2.

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

Question 3.
1 + $$\frac{1}{2}$$ = $$\frac{3}{2}$$

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 4.
1$$\frac{1}{2}$$ = $$\frac{3}{2}$$

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 5.
4 + 1 = 5.

5 = 4 + 1.

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

Question 6.
$$\frac{4}{4}$$ + $$\frac{1}{4}$$ = $$\frac{3}{4}$$

4/4 = 1/4 + 3/4.

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

Question 7.
1 + $$\frac{1}{4}$$ = $$\frac{5}{4}$$

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 8.
1$$\frac{1}{4}$$ = $$\frac{5}{4}$$

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 9.
3 + 1 = 4.

4 = 3 + 1.

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

Question 10.
$$\frac{3}{3}$$ + $$\frac{1}{3}$$ = $$\frac{1}{3}$$

3/3 = 1/3 + 1/3.

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

Question 11.
1 + $$\frac{1}{3}$$ = $$\frac{4}{3}$$

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 12.
1$$\frac{1}{3}$$ = $$\frac{4}{3}$$

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 13.
$$\frac{5}{5}$$ + $$\frac{1}{5}$$ = $$\frac{4}{5}$$

5/5 = 1/5 + 4/5.

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

Question 14.
1 + $$\frac{1}{5}$$ = $$\frac{6}{5}$$

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 15.
1$$\frac{1}{5}$$ = $$\frac{6}{5}$$

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 16.
1$$\frac{2}{5}$$ = $$\frac{7}{5}$$

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 17.
1$$\frac{4}{5}$$ = $$\frac{9}{5}$$

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 18.
1$$\frac{3}{5}$$ = $$\frac{8}{5}$$

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 19.
$$\frac{4}{4}$$ + $$\frac{3}{4}$$ = $$\frac{1}{4}$$

4/4 = 3/4 + 1/4.

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

Question 20.
1 + $$\frac{3}{4}$$ = $$\frac{7}{4}$$

7/4 = 1 + 3/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/4 = 1 + 3/4.
6 + 1 = 7.
1 + 3/4 = 7/4.

Question 21.
$$\frac{6}{6}$$ + $$\frac{5}{6}$$ = $$\frac{1}{6}$$

6/6 = 5/6 + 1/6.

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

Question 22.
1 + $$\frac{5}{6}$$ = $$\frac{11}{6}$$

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 23.
1$$\frac{5}{6}$$ = $$\frac{11}{6}$$

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 24.
2 + $$\frac{1}{2}$$ = 2$$\frac{1}{2}$$

5/2 = 2 + 1/2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/2 = 2 + 1/2.
4 + 1 = 5.
2 + 1/2 = 5/2.

Question 25.
$$\frac{4}{2}$$ + $$\frac{1}{2}$$ = $$\frac{3}{2}$$

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

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

Question 26.
2 + $$\frac{1}{2}$$ = $$\frac{5}{2}$$

5/2 = 2 + 1/2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/2 = 2 + 1/2.
4 + 1 = 5.
2 + 1/2 = 5/2.

Question 27.
2$$\frac{1}{2}$$ = $$\frac{5}{2}$$

5/2 = 2 + 1/2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/2 = 2 + 1/2.
4 + 1 = 5.
2 + 1/2 = 5/2.

Question 28.
2 + $$\frac{1}{4}$$ = 2$$\frac{1}{4}$$

9/4 = 2 + 1/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/4 = 2 + 1/4.
8 + 1 = 9.
2 + 1/4 = 9/4.

Question 29.
$$\frac{8}{4}$$ + $$\frac{1}{4}$$ = $$\frac{7}{4}$$

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

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

Question 30.
2 + $$\frac{1}{4}$$ = $$\frac{9}{4}$$

9/4 = 2 + 1/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/4 = 2 + 1/4.
8 + 1 = 9.
2 + 1/4 = 9/4.

Question 31.
2$$\frac{1}{4}$$ = $$\frac{9}{4}$$

9/4 = 2 + 1/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/4 = 2 + 1/4.
9 + 1 = 10.
2 + 1/4 = 9/4.

Question 32.
$$\frac{9}{3}$$ + $$\frac{2}{3}$$ = $$\frac{7}{3}$$

9/3 = 2/3 + 7/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/3 = 2/3 + 7/3.
8 + 1 = 9.
2/3 + 7/3 = 9/3.

Question 33.
3 + $$\frac{2}{3}$$ = $$\frac{11}{3}$$

11/3 = 3 + 2/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/3 = 3 + 2/3.
10 + 1 = 11.
3 + 2/3 = 11/3.

Question 34.
3$$\frac{2}{3}$$ = $$\frac{11}{3}$$

11/3 = 3 + 2/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/3 = 3 + 2/3.
10 + 1 = 11.
3 + 2/3 = 11/3.

Question 35.
$$\frac{16}{4}$$ + $$\frac{3}{4}$$ = $$\frac{13}{4}$$

16/4 = 3/4 + 13/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
16/4 = 3/4 + 13/4.
13 + 3 = 16.
3/4 + 13/4 = 16/4.

Question 36.
4 + $$\frac{3}{4}$$ = $$\frac{19}{4}$$

19/4 = 4 + 3/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
19/4 = 4 + 3/4.
10 + 9 = 19.
4 + 3/4 = 19/4.

Question 37.

4$$\frac{3}{4}$$ = $$\frac{19}{4}$$

19/4 = 4 + 3/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
19/4 = 4 + 3/4.
10 + 9 = 19.
4 + 3/4 = 19/4.

Question 38.
3 + $$\frac{2}{5}$$ = $$\frac{17}{5}$$

17/5 = 3 + 2/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
17/5 = 3 + 2/5.
10 + 7 = 17.
3 + 2/5 = 17/5.

Question 39.
4 + $$\frac{1}{2}$$ = $$\frac{9}{2}$$

9/2 = 4 + 1/2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/2 = 4 + 1/2.
8 + 1 = 9.
4 + 1/2 = 9/2.

Question 40.
3 + $$\frac{3}{4}$$ = $$\frac{15}{4}$$

15/4 = 3 + 3/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
15/4 = 3 + 3/4.
10 + 5 = 15.
3 + 3/4 = 15/4.

Question 41.
3 + $$\frac{1}{6}$$ = $$\frac{10}{6}$$

10/6 = 3 + 1/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
10/6 = 3 + 1/6.
1 + 9 = 10.
3 + 1/6 = 10/6.

Question 42.
3 + $$\frac{5}{8}$$ = $$\frac{16}{8}$$

16/8 = 3 + 5/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
16/8 = 3 + 5/8.
10 + 6 = 16.
3 + 5/8 = 16/8.

Question 43.
3$$\frac{4}{5}$$ = $$\frac{19}{5}$$

19/5 = 3 + 4/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
19/5 = 3 + 4/5.
10 + 9 = 19.
3 + 4/5 = 19/5.

Question 44.
4$$\frac{7}{8}$$ = $$\frac{39}{8}$$

39/8 = 4 + 7/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
39/8 = 4 + 7/8.
30 + 9 = 39.
4 + 7/8 = 39/8.

B
Change Mixed Numbers to Fractions

5 + 1 = 6, 5/5 + 1/5 = 6/5, 1 + 1/5 = 6/5, 1(1/5) = 6/5, 3 + 1 = 4, 3/3 + 1/3 = 4/3, 1 + 1/3 = 2/3, 1(1/3) = 4/3, 4 + 1 = 5, 4/4 + 1/4 = 5/4, 1 + 1/4 = 5/4, 1(1/4) = 5/4, 10/10 + 1/10 = 11/10, 1 + 1/10 = 11/10, 1(1/10) = 11/10, 1(2/10) = 12/10, 1(4/10) = 14/10, 1(3/10) = 13/10, 3/3 + 2/3 = 5/3, 1 + 2/3 = 5/3, 8/8 + 7/8 = 15/8, 1 + 7/8 = 15/8, 1(7/8) = 15/8, 2 + 1/2 = 2(1/2), 4/2 + 1/2 = 5/2, 2 + 1/2 = 3/2, 2(1/2) = 3/2, 2 + 1/3 = 7/3, 6/3 + 1/3 = 7/3, 2 + 1/3 = 7/3, 2(1/3) = 7/3, 12/4 + 3/4 = 15/4, 3 + 3/4 = 15/4, 3(3/4) = 15/4, 12/3 + 2/3 = 13/3, 4 + 2/3 = 6/3, 4(2/3) = 6/3, 3 + 3/5 = 6/5, 5 + 1/2 = 6/2, 3 + 2/3 = 11/3, 3 + 1/8 = 25/8, 3 + 1/6 = 19/6, 3(2/5) = 17/5, 4(5/6) = 29/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5 + 1 = 6, 5/5 + 1/5 = 6/5, 1 + 1/5 = 6/5, 1(1/5) = 6/5, 3 + 1 = 4, 3/3 + 1/3 = 4/3, 1 + 1/3 = 2/3, 1(1/3) = 4/3, 4 + 1 = 5, 4/4 + 1/4 = 5/4, 1 + 1/4 = 5/4, 1(1/4) = 5/4, 10/10 + 1/10 = 11/10, 1 + 1/10 = 11/10, 1(1/10) = 11/10, 1(2/10) = 12/10, 1(4/10) = 14/10, 1(3/10) = 13/10, 3/3 + 2/3 = 5/3, 1 + 2/3 = 5/3, 8/8 + 7/8 = 15/8, 1 + 7/8 = 15/8, 1(7/8) = 15/8, 2 + 1/2 = 2(1/2), 4/2 + 1/2 = 5/2, 2 + 1/2 = 3/2, 2(1/2) = 3/2, 2 + 1/3 = 7/3, 6/3 + 1/3 = 7/3, 2 + 1/3 = 7/3, 2(1/3) = 7/3, 12/4 + 3/4 = 15/4, 3 + 3/4 = 15/4, 3(3/4) = 15/4, 12/3 + 2/3 = 13/3, 4 + 2/3 = 6/3, 4(2/3) = 6/3, 3 + 3/5 = 6/5, 5 + 1/2 = 6/2, 3 + 2/3 = 11/3, 3 + 1/8 = 25/8, 3 + 1/6 = 19/6, 3(2/5) = 17/5, 4(5/6) = 29/6.

Question 1.
5 + 1 = 6.

6 = 5 + 1.

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

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

5/5 = 1/5 + 4/5.

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

Question 3.
1 + $$\frac{1}{5}$$ = $$\frac{6}{5}$$

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 4.
1$$\frac{1}{5}$$ = $$\frac{6}{5}$$

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 5.
3 + 1 = 4.

4 = 3 + 1.

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

Question 6.
$$\frac{3}{3}$$ + $$\frac{1}{3}$$ = $$\frac{4}{3}$$

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 7.
1 + $$\frac{1}{3}$$ = $$\frac{4}{3}$$

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 8.
1$$\frac{1}{3}$$ = $$\frac{4}{3}$$

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 9.
4 + 1 = 5.

5 = 4 + 1.

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

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

5/4 = 1/4 + 4/4.

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

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

5/4 = 1/4 + 4/4.

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

Question 12.
1$$\frac{1}{4}$$ = $$\frac{5}{4}$$

5/4 = 1/4 + 4/4.

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

Question 13.
$$\frac{10}{10}$$ + $$\frac{1}{10}$$ = $$\frac{9}{10}$$

10/10 = 1/10 + 9/10.

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

Question 14.
1 + $$\frac{1}{10}$$ = $$\frac{11}{10}$$

11/10 = 1 + 1/10.

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

Question 15.
1$$\frac{1}{10}$$ = $$\frac{11}{10}$$

11/10 = 1 + 1/10.

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

Question 16.
1$$\frac{2}{10}$$ = $$\frac{12}{10}$$

12/10 = 1 + 2/10.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
12/10 = 1 + 2/10.
10 + 2 = 12.
1 + 2/10 = 12/10.

Question 17.
1$$\frac{4}{10}$$ = $$\frac{14}{10}$$

14/10 = 1 + 4/10.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
14/10 = 1 + 4/10.
10 + 4 = 14.
1 + 4/10 = 14/10.

Question 18.
1$$\frac{3}{10}$$ = $$\frac{13}{10}$$

13/10 = 1 + 3/10.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/10 = 1 + 3/10.
10 + 3 = 13.
1 + 3/10 = 13/10.

Question 19.
$$\frac{3}{3}$$ + $$\frac{2}{3}$$ = $$\frac{1}{3}$$

3/3 = 1/3 + 2/3.

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

Question 20.
1 + $$\frac{2}{3}$$ = $$\frac{5}{3}$$

5/3 = 1 + 2/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/3 = 1 + 2/3.
4 + 1 = 5.
1 + 2/3 = 5/3.

Question 21.
$$\frac{8}{8}$$ + $$\frac{7}{8}$$ = $$\frac{1}{8}$$

8/8 = 7/8 + 1/8.

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

Question 22.
1 + $$\frac{7}{8}$$ = $$\frac{15}{8}$$

15/8 = 1 + 7/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
15/8 = 1 + 7/8.
10 + 5 = 15.
1 + 7/8 = 15/8.

Question 23.
1$$\frac{7}{8}$$ = $$\frac{15}{8}$$

15/8 = 1 + 7/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
15/8 = 1 + 7/8.
10 + 5 = 15.
1 + 7/8 = 15/8.

Question 24.
2 + $$\frac{1}{2}$$ = 2$$\frac{1}{2}$$

5/2 = 2 + 1/2.

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

Question 25.
$$\frac{4}{2}$$ + $$\frac{1}{2}$$ = $$\frac{3}{2}$$

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

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

Question 26.
2 + $$\frac{1}{2}$$ = $$\frac{5}{2}$$

5/2 = 2 + 1/2.

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

Question 27.
2$$\frac{1}{2}$$ = $$\frac{5}{2}$$

5/2 = 2 + 1/2.

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

Question 28.
2 + $$\frac{1}{3}$$ = 2$$\frac{1}{3}$$

7/3 = 2 + 1/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/3 = 2 + 1/3.
5 + 2 = 7.
2 + 1/3 = 7/3.

Question 29.
$$\frac{6}{3}$$ + $$\frac{1}{3}$$ = $$\frac{7}{3}$$

7/3 = 2 + 1/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/3 = 2 + 1/3.
5 + 2 = 7.
2 + 1/3 = 7/3.

Question 30.
2 + $$\frac{1}{3}$$ = $$\frac{7}{3}$$

7/3 = 2 + 1/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/3 = 2 + 1/3.
5 + 2 = 7.
2 + 1/3 = 7/3.

Question 31.
2$$\frac{1}{3}$$ = $$\frac{7}{3}$$

7/3 = 2 + 1/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/3 = 2 + 1/3.
5 + 2 = 7.
2 + 1/3 = 7/3.

Question 32.
$$\frac{12}{4}$$ + $$\frac{3}{4}$$ = $$\frac{9}{4}$$

12/4 = 3/4 + 9/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
12/4 = 3/4 + 9/4.
9 + 3 = 12.
3/4 + 9/4 = 12/4.

Question 33.
3 + $$\frac{3}{4}$$ = $$\frac{15}{4}$$

15/4 = 3 + 3/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
15/4 = 3 + 3/4.
12 + 3 = 5.
3 + 3/4 = 15/4.

Question 34.
3$$\frac{3}{4}$$ = $$\frac{15}{4}$$

15/4 = 3 + 3/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
15/4 = 3 + 3/4.
12 + 3 = 5.
3 + 3/4 = 15/4.

Question 35.
$$\frac{12}{3}$$ + $$\frac{2}{3}$$ = $$\frac{14}{3}$$

14/3 = 12/3 + 2/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
14/3 = 12/3 + 2/3.
12 + 2 = 14.
2/3 + 12/3 = 14/3.

Question 36.
4 + $$\frac{2}{3}$$ = $$\frac{14}{3}$$

14/3 = 12/3 + 2/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
14/3 = 12/3 + 2/3.
12 + 2 = 14.
2/3 + 12/3 = 14/3.

Question 37.
4$$\frac{3}{4}$$ = $$\frac{19}{4}$$

19/4 = 4 + 3/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
19/4 = 4 + 3/4.
17 + 2 = 19.
4 + 3/4 = 19/4.

Question 38.
3 + $$\frac{3}{5}$$ = $$\frac{18}{5}$$

18/5 = 3 + 3/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
18/5 = 3 + 3/5.
16 + 2 = 18.
3 + 3/5 = 18/5.

Question 39.
5 + $$\frac{1}{2}$$ = $$\frac{11}{2}$$

11/2 = 5 + 1/2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/2 = 5 + 1/2.
10 + 1 = 11.
5 + 1/2 = 11/2.

Question 40.
3 + $$\frac{2}{3}$$ = $$\frac{11}{3}$$

11/2 = 5 + 1/2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/2 = 5 + 1/2.
10 + 1 = 11.
5 + 1/2 = 11/2.

Question 41.
3 + $$\frac{1}{8}$$ = $$\frac{25}{8}$$

25/8 = 3 + 1/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
25/8 = 3 + 1/8.
20 + 5 = 25.
3 + 1/8 = 25/8.

Question 42.
3 + $$\frac{1}{6}$$ = $$\frac{19}{6}$$

19/6 = 3 + 1/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
19/6 = 3 + 1/6.
10 + 9 = 19.
3 + 1/6 = 19/6.

Question 43.
3$$\frac{2}{5}$$ = $$\frac{17}{5}$$

17/5 = 3 + 2/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
17/5 = 3 + 2/5.
10 + 7 = 17.
3 + 2/5 = 17/5.

Question 44.
4$$\frac{5}{6}$$ = $$\frac{29}{6}$$

29/6 = 4 + 5/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
29/6 = 4 + 5/6.
20 + 9 = 29.
4 + 5/6 = 29/6.

## Eureka Math Grade 4 Module 5 Lesson 33 Problem Set Answer Key

Question 1.
Write a related addition sentence. Subtract by counting on. Use a number line or the arrow way to help. The first one has been partially done for you.
a. 3$$\frac{1}{3}$$ – 1 $$\frac{2}{3}$$ = _____
1$$\frac{2}{3}$$ + ____ = 3$$\frac{1}{3}$$

3(1/3) – 1(2/3) = 1(2/3).

Explanation:
In the above-given question,
given that,
decomposing the fractional part of the number you are subtracting.
3(1/3) – 1(2/3).
2(1/3) – 2/3.
1(2/3).

b. 5$$\frac{1}{4}$$ – 2$$\frac{3}{4}$$ = __2(2/4)____

5(1/4) – 2(3/4) = 2(2/4).

Explanation:
In the above-given question,
given that,
decomposing the fractional part of the number you are subtracting.
5(1/4) – 2(3/4).
3(1/4) – 3/4.
2(2/4).

Question 2.
Subtract, as shown in Problem 2(a), by decomposing the fractional part of the number you are subtracting. Use a number line or the arrow way to help you.

3(1/4) – 1(3/4) = 1(2/4).

Explanation:
In the above-given question,
given that,
decomposing the fractional part of the number you are subtracting.
3(1/4) – 1(3/4).
2(1/4) – 3/4.
1(2/4).

b. 4$$\frac{1}{5}$$ – 2$$\frac{4}{5}$$

4(1/5) – 2(4/5) = 1(2/5).

Explanation:
In the above-given question,
given that,
decomposing the fractional part of the number you are subtracting.
4(1/5) – 2(4/5).
2(1/5) – 4/5.
1(2/5).

c. 5$$\frac{3}{7}$$ – 3$$\frac{6}{7}$$

5(3/7) – 3(6/7) = 1(4/7).

Explanation:
In the above-given question,
given that,
decomposing the fractional part of the number you are subtracting.
5(3/7) – 3(6/7).
2(3/7) – 6/7.
1(4/7).

Question 3.
Subtract, as shown in Problem 3(a), by decomposing to take one out.

b. 4$$\frac{3}{6}$$ – 3$$\frac{5}{6}$$

4(3/6) – 3(5/6) = 1(1/3).

Explanation:
In the above-given question,
given that,
decomposing the fractional part of the number you are subtracting.
4(3/6) – 3(5/6).
1(3/6) – 5/6.
1(1/3).

c. 8$$\frac{3}{10}$$ – 2$$\frac{7}{10}$$

8(3/10) – 2(7/10) = 5(4/10).

Explanation:
In the above-given question,
given that,
decomposing the fractional part of the number you are subtracting.
8(3/10) – 2(7/10).
6(3/10) – 7/10.
5(4/10).

Question 4.
Solve using any method.
a. 6$$\frac{1}{4}$$ – 3$$\frac{3}{4}$$

6(1/4) – 3(3/4) = 10/4.

Explanation:
In the above-given question,
given that,
subtract the ones first.
6(1/4) – 3(3/4).
6 x 4 = 24.
3 x 4 = 12.
24 + 1/4 = 25/4.
12 + 3/4 = 15/4.
25/4 – 15/4 = 10/4.

b. 5$$\frac{1}{8}$$ – 2$$\frac{7}{8}$$

5(1/8) – 2(7/8) = 18/8.

Explanation:
In the above-given question,
given that,
subtract the ones first.
5(1/8) – 2(7/8).
5 x 8 = 40.
2 x 8 = 16.
40 + 1/8 = 41/8.
16 + 7/8 = 23/8.
41/8 – 23/8 = 18/8.

c. 8$$\frac{3}{12}$$ – 3$$\frac{8}{12}$$

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).
8 x 12 = 96.
12 x 3 = 36.
96 + 3/12 = 99/12.
36 + 8/12 = 44/12.
99/12 – 44/12 = 55/12.

d. 5$$\frac{1}{100}$$ – 2$$\frac{97}{100}$$

5(1/100) – 2(97/100) = 204/100.

Explanation:
In the above-given question,
given that,
subtract the ones first.
5(1/100) – 2(97/100).
5 x 100 = 500.
100 x 2 = 200.
500 + 1/100 = 501/100.
200 + 97/100 = 297/100.
501/100 – 297/100 = 204/100.

### Eureka Math Grade 4 Module 5 Lesson 33 Exit Ticket Answer Key

Solve using any strategy.
Question 1.
4$$\frac{2}{3}$$ – 2$$\frac{1}{3}$$

4(2/3) – 2(1/3) = 7/3.

Explanation:
In the above-given question,
given that,
subtract the ones first.
4(2/3) – 2(1/3).
4 x 3 = 12.
3 x 2 = 6.
12 + 2/3 = 14/3.
6 + 1/3 = 7/3.
14/3 – 7/3 = 7/3.

Question 2.
12$$\frac{5}{8}$$ – 8$$\frac{7}{8}$$

12(5/8) – 8(7/8) = 30/8.

Explanation:
In the above-given question,
given that,
subtract the ones first.
12(5/8) – 8(7/8).
12 x 8 = 96.
8 x 8 = 64.
96 + 5/8 = 101/8.
64 + 7/8 = 71/8.
101/8 – 71/8 = 30/8.

Question 1.
Write a related addition sentence. Subtract by counting on. Use a number line or the arrow way to help. The first one has been partially done for you.
a. 3$$\frac{2}{5}$$ – 1$$\frac{4}{5}$$ = ___1(3/5)___
1$$\frac{4}{5}$$ + _2/5___ = 3$$\frac{2}{5}$$

3(2/5) – 1(4/5) = 1(3/5).

Explanation:
In the above-given question,
given that,
decomposing the fractional part of the number you are subtracting.
3(2/5) – 1(4/5).
2(2/5) – 4/5.
1(3/5).

b. 5$$\frac{3}{8}$$ – 2$$\frac{5}{8}$$

5(3/8) – 2(5/8) = 2(5/8).

Explanation:
In the above-given question,
given that,
decomposing the fractional part of the number you are subtracting.
5(3/8) – 2(5/8).
3(3/8) – 5/8.
2(5/8).

Question 2.
Subtract, as shown in Problem 2(a) below, by decomposing the fractional part of the number you are subtracting. Use a number line or the arrow way to help you.

b. 4$$\frac{1}{7}$$ – 2$$\frac{4}{7}$$

4(1/7) – 2(4/7) = 1(4/7).

Explanation:
In the above-given question,
given that,
decomposing the fractional part of the number you are subtracting.
4(1/7) – 2(4/7).
2(1/7) – 4/7.
1(4/7).

c. 5$$\frac{5}{12}$$ – 3$$\frac{8}{12}$$

5(5/12) – 3(8/12) = 1(9/12).

Explanation:
In the above-given question,
given that,
decomposing the fractional part of the number you are subtracting.
5(5/12) – 3(8/12).
2(5/12) – 8/12.
1(9/12).

Question 3.
Subtract, as shown in 3(a) below, by decomposing to take one out.

b. 4$$\frac{3}{12}$$ – 3$$\frac{8}{12}$$

4(3/12) – 3(8/12) = 2(4/12).

Explanation:
In the above-given question,
given that,
decomposing the fractional part of the number you are subtracting.
4(3/12) – 3(8/12).
1(3/12) – 8/12.
2(4/12).

c. 9$$\frac{1}{10}$$ – 6$$\frac{9}{10}$$

9(1/10) – 6(9/10) = 2(2/10).

Explanation:
In the above-given question,
given that,
decomposing the fractional part of the number you are subtracting.
9(1/10) – 6(9/10).
3(1/10) – 9/10.
2(2/10).

Question 4.
Solve using any strategy.
a. 6$$\frac{1}{9}$$ – 4$$\frac{3}{9}$$

6(1/9) – 4(3/9) = 16/9.

Explanation:
In the above-given question,
given that,
subtract the ones first.
6(1/9) – 4(3/9).
6 x 9 = 54.
4 x 9 = 36.
54 + 1/9 = 55/9.
36 + 3/9 = 39/9.
55/9 – 39/9 = 16/9.

b. 5$$\frac{3}{10}$$ – 3$$\frac{6}{10}$$

5(3/10) – 3(6/10) = 17/10.

Explanation:
In the above-given question,
given that,
subtract the ones first.
5(3/10) – 3(6/10).
5 x 10 = 50.
3 x 10 = 30.
50 + 3/10 = 53/10.
30 + 6/10 = 36/10.
53/10 – 36/10 = 17/10.

c. 8$$\frac{7}{12}$$ – 5$$\frac{9}{12}$$

8(7/12) – 5(9/12) = 34/12.

Explanation:
In the above-given question,
given that,
subtract the ones first.
8(7/12) – 5(9/12).
8 x 12 = 96.
5 x 12 = 60.
96 + 7/12 = 103/12.
60 + 9/12 = 69/12.
103/12 – 69/12 = 34/12.

d. 7$$\frac{4}{100}$$ – 2$$\frac{92}{100}$$