Engage NY Eureka Math 4th Grade Module 5 Lesson 21 Answer Key
Eureka Math Grade 4 Module 5 Lesson 21 Sprint Answer Key
A
Subtract Fractions
Answer:
2-1 = 1, 2/2 – 1/2 = 0.5, 1 – 1/2 = 0.5, 3 – 1 = 2, 3/3 – 1/3 = 0.67, 1- 1/3 = 0.67, 8-1 = 7, 1- 1/8 = 0.875, 1 – 1/8 = 0.875, 5 – 1 = 4, 5/5 – 1/5 = 0.8, 1 – 1/5 = 0.8, 1- 2/5 = 0.6, 1 – 4/5 = 0.2, 1 – 3/5 = 0.4, 1- 1/4 = 0.75, 1 – 3/4 = 0.25, 1 – 1/10 = 0.9, 1 – 9/10 = 0.1, 1- 3/10 = 0.7, 1 – 7/10 = 0.3, 4-2 = 2.
Explanation:
In the above-given question,
given that,
subtract fractions.
2-1 = 1, 2/2 – 1/2 = 0.5, 1 – 1/2 = 0.5, 3 – 1 = 2, 3/3 – 1/3 = 0.67, 1- 1/3 = 0.67, 8-1 = 7, 1- 1/8 = 0.875, 1 – 1/8 = 0.875, 5 – 1 = 4, 5/5 – 1/5 = 0.8, 1 – 1/5 = 0.8, 1- 2/5 = 0.6, 1 – 4/5 = 0.2, 1 – 3/5 = 0.4, 1- 1/4 = 0.75, 1 – 3/4 = 0.25, 1 – 1/10 = 0.9, 1 – 9/10 = 0.1, 1- 3/10 = 0.7, 1 – 7/10 = 0.3, 4-2 = 2.
Answer:
4/3 – 2/3 = 0.7, 1(1/3) – 2/3 = 0.7, 1(2/3) – 1/3 = 1.33, 7 – 4 = 3, 7/5 – 4/5 = 0.6, 1(2/5) – 4/5 = 0.6, 1(4/5) – 2/5 = 1.4, 5 -3 = 2, 5/4 – 3/4 = 0.5, 1(1/4) – 3/4 = 0.5, 1(3/4) – 1/4 = 1.5, 1 – 3/8 = 0.625, 1 – 7/8 = 0.125, 1(7/8) – 3/8 = 1.5, 1(3/8) – 7/8 = 0.5, 1 – 1/6 = 0.83, 1 – 5/6 = 0.1, 1(5/6) – 1/6 = 1.66, 1(1/6) – 5/6 = 0.33, 1 – 5/12 = 0.58, 1(1/12) – 7/12 = 5, 1(4/15) – 13/15 = 5.
Explanation:
In the above-given question,
given that,
subtract fractions.
Question 1.
2 – 1 = 1.
Answer:
2 – 1 = 1.
Explanation:
In the above-given question,
given that,
subtract fractions.
2 – 1 = 1.
Question 2.
\(\frac{2}{2}\) – \(\frac{1}{2}\) = 1/2.
Answer:
\(\frac{2}{2}\) – \(\frac{1}{2}\) = 1/2.
Explanation:
In the above-given question,
given that,
\(\frac{2}{2}\) – \(\frac{1}{2}\).
2/2 – 1/2.
1/2 = 0.5.
Question 3.
1 – \(\frac{1}{2}\) = 0.5.
Answer:
1 – \(\frac{1}{2}\) = 0.5.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{2}\).
1 – 1/2.
1- 0.5.
0.5.
Question 4.
3 – 1 = 2.
Answer:
3 – 1 = 2.
Explanation:
In the above-given question,
given that,
subtract fractions.
3 – 1 = 2.
Question 5.
\(\frac{3}{3}\) – \(\frac{1}{3}\) = 2/3.
Answer:
\(\frac{3}{3}\) – \(\frac{1}{3}\) = 2/3.
Explanation:
In the above-given question,
given that,
\(\frac{3}{3}\) – \(\frac{1}{3}\).
3/3 – 1/3.
2/3 = 0.66.
Question 6.
1 – \(\frac{1}{3}\) = 0.67.
Answer:
1 – \(\frac{1}{3}\) = 0.67.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{3}\).
1 – 1/3.
1- 0.33.
0.67.
Question 7.
8 – 1 = 7.
Answer:
8 – 1 = 7.
Explanation:
In the above-given question,
given that,
subtract fractions.
8 – 1 = 7.
Question 8.
\(\frac{8}{8}\) – \(\frac{1}{8}\) = 0.875.
Answer:
\(\frac{8}{8}\) – \(\frac{1}{8}\) = 0.875.
Explanation:
In the above-given question,
given that,
\(\frac{8}{8}\) – \(\frac{1}{8}\).
8/8 – 1/8.
7/8 = 0.875.
Question 9.
1 – \(\frac{1}{8}\) = 0.125.
Answer:
1 – \(\frac{1}{8}\) = 0.125.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{8}\).
1 – 1/8.
1- 0.875.
0.125.
Question 10.
5 – 1 = 4.
Answer:
5 – 1 = 4.
Explanation:
In the above-given question,
given that,
subtract fractions.
5 – 1 = 4.
Question 11.
\(\frac{5}{5}\) – \(\frac{1}{5}\) = 0.8.
Answer:
\(\frac{5}{5}\) – \(\frac{1}{5}\) = 4/5.
Explanation:
In the above-given question,
given that,
\(\frac{5}{5}\) – \(\frac{1}{5}\).
5/5 – 1/5.
4/5 = 0.8.
Question 12.
1 – \(\frac{1}{5}\) = 0.8.
Answer:
1 – \(\frac{1}{5}\) = 0.8.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{5}\).
1 – 1/5.
1- 0.2.
0.8.
Question 13.
1 – \(\frac{2}{5}\) = 0.6.
Answer:
1 – \(\frac{2}{5}\) = 0.6.
Explanation:
In the above-given question,
given that,
1 – \(\frac{2}{5}\).
1 – 2/5.
1- 0.4.
0.6.
Question 14.
1 – \(\frac{4}{5}\) = 0.2.
Answer:
1 – \(\frac{4}{5}\) = 0.2.
Explanation:
In the above-given question,
given that,
1 – \(\frac{4}{5}\).
1 – 4/5.
1- 0.8.
0.2.
Question 15.
1 – \(\frac{3}{5}\) = 0.4.
Answer:
1 – \(\frac{3}{5}\) = 0.4.
Explanation:
In the above-given question,
given that,
1 – \(\frac{3}{5}\).
1 – 3/5.
1- 0.6.
0.4.
Question 16.
1 – \(\frac{1}{4}\) = 0.75.
Answer:
1 – \(\frac{1}{4}\) = 0.75.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{4}\).
1 – 1/4.
1- 0.25.
0.75.
Question 17.
1 – \(\frac{3}{4}\) = 0.25.
Answer:
1 – \(\frac{3}{4}\) = 0.25.
Explanation:
In the above-given question,
given that,
1 – \(\frac{3}{4}\).
1 – 3/4.
1- 0.75.
0.25.
Question 18.
1 – \(\frac{1}{10}\) = 0.9.
Answer:
1 – \(\frac{1}{10}\) = 0.9.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{10}\).
1 – 1/10.
1- 0.1.
0.9.
Question 19.
1 – \(\frac{9}{10}\) = 0.1
Answer:
1 – \(\frac{9}{10}\) = 0.1.
Explanation:
In the above-given question,
given that,
1 – \(\frac{9}{10}\).
1 – 9/10.
1- 0.9.
0.1.
Question 20.
1 – \(\frac{3}{10}\) = 0.7.
Answer:
1 – \(\frac{3}{10}\) = 0.7.
Explanation:
In the above-given question,
given that,
1 – \(\frac{3}{10}\).
1 – 3/10.
1- 0.3.
0.7.
Question 21.
1 – \(\frac{7}{10}\) = 0.3.
Answer:
1 – \(\frac{7}{10}\) = 0.3.
Explanation:
In the above-given question,
given that,
1 – \(\frac{7}{10}\).
1 – 7/10.
1- 0.7.
0.3.
Question 22.
4 – 2 = 2.
Answer:
4 – 2 = 2.
Explanation:
In the above-given question,
given that,
subtract fractions.
4 – 2 = 2.
Question 23.
\(\frac{4}{3}\) – \(\frac{2}{3}\) =2/3.
Answer:
\(\frac{4}{3}\) – \(\frac{2}{3}\) = 2/3.
Explanation:
In the above-given question,
given that,
\(\frac{4}{3}\) – \(\frac{2}{3}\).
4/3 – 2/3.
2/3 = 0.66.
Question 24.
1\(\frac{1}{3}\) – \(\frac{2}{3}\) = 2/3.
Answer:
1\(\frac{1}{3}\) – \(\frac{2}{3}\) = 2/3.
Explanation:
In the above-given question,
given that,
1\(\frac{1}{3}\) – \(\frac{2}{3}\).
4/3 – 2/3.
2/3 = 0.66.
Question 25.
1\(\frac{2}{3}\) – \(\frac{1}{3}\) = 1.33.
Answer:
1\(\frac{2}{3}\) – \(\frac{1}{3}\) = 4/3.
Explanation:
In the above-given question,
given that,
1\(\frac{2}{3}\) – \(\frac{1}{3}\).
5/3 – 1/3.
4/3 = 1.33.
Question 26.
7 – 4 = 3.
Answer:
7 – 4 = 3.
Explanation:
In the above-given question,
given that,
subtract fractions.
7 – 4 = 3.
Question 27.
\(\frac{7}{5}\) – \(\frac{4}{5}\) = 0.6.
Answer:
\(\frac{7}{5}\) – \(\frac{4}{5}\) = 3/5.
Explanation:
In the above-given question,
given that,
\(\frac{7}{5}\) – \(\frac{4}{5}\).
7/5 – 4/5.
3/5 = 0.6.
Question 28.
1\(\frac{2}{5}\) – \(\frac{4}{5}\) = 0.8.
Answer:
1\(\frac{2}{5}\) – \(\frac{4}{5}\) = 4/5.
Explanation:
In the above-given question,
given that,
1\(\frac{2}{5}\) – \(\frac{4}{5}\).
1(2/5) – 4/5.
7/5 – 4/5.
4/5 = 0.8.
Question 29.
1\(\frac{4}{5}\) – \(\frac{2}{5}\) = 1.4.
Answer:
1\(\frac{4}{5}\) – \(\frac{2}{5}\) = 7/5.
Explanation:
In the above-given question,
given that,
1\(\frac{4}{5}\) – \(\frac{2}{5}\).
1(4/5) – 2/5.
9/5 – 2/5.
7/5 = 1.4.
Question 30.
5 – 3 = 2.
Answer:
7 – 4 = 3.
Explanation:
In the above-given question,
given that,
subtract fractions.
7 – 4 = 3.
Question 31.
\(\frac{5}{4}\) – \(\frac{2}{4}\) = 0.75.
Answer:
\(\frac{5}{4}\) – \(\frac{2}{4}\) = 3/4.
Explanation:
In the above-given question,
given that,
\(\frac{5}{4}\) – \(\frac{2}{4}\).
5/4 – 2/4.
3/4 = 0.75.
Question 32.
1\(\frac{1}{4}\) – \(\frac{3}{4}\) = 2/4.
Answer:
1\(\frac{1}{4}\) – \(\frac{3}{4}\) = 2/4.
Explanation:
In the above-given question,
given that,
1\(\frac{1}{4}\) – \(\frac{3}{4}\).
1(1/4) – 3/4.
5/4 – 3/4.
2/4 = 0.5.
Question 33.
1\(\frac{3}{4}\) – \(\frac{1}{4}\) = 1.5.
Answer:
1\(\frac{3}{4}\) – \(\frac{1}{4}\) = 1/4.
Explanation:
In the above-given question,
given that,
1\(\frac{3}{4}\) – \(\frac{1}{4}\).
1(3/4) – 1/4.
7/4 – 1/4.
6/4 = 1.5.
Question 34.
1 – \(\frac{3}{8}\) = 0.625.
Answer:
1 – \(\frac{3}{8}\) = 0.625.
Explanation:
In the above-given question,
given that,
1 – \(\frac{3}{8}\).
1 – 3/8.
1- 0.375.
0.625.
Question 35.
1 – \(\frac{7}{8}\) = 0.125.
Answer:
1 – \(\frac{7}{8}\) = 0.125.
Explanation:
In the above-given question,
given that,
1 – \(\frac{7}{8}\).
1 – 7/8.
1- 0.875.
0.125.
Question 36.
1\(\frac{7}{8}\) – \(\frac{3}{8}\) = 1.5.
Answer:
1\(\frac{7}{8}\) – \(\frac{3}{8}\) = 1.5.
Explanation:
In the above-given question,
given that,
1\(\frac{7}{8}\) – \(\frac{3}{8}\).
1(7/8) – 3/8.
15/8 – 3/8.
12/8 = 1.5.
Question 37.
1\(\frac{3}{8}\) – \(\frac{7}{8}\) = 0.5.
Answer:
1\(\frac{3}{8}\) – \(\frac{7}{8}\) = 0.5.
Explanation:
In the above-given question,
given that,
1\(\frac{3}{8}\) – \(\frac{7}{8}\).
1(3/8) – 7/8.
11/8 – 7/8.
4/8 = 0.5.
Question 38.
1 – \(\frac{1}{6}\) = 0.84.
Answer:
1 – \(\frac{1}{6}\) = 0.84.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{6}\).
1 – 1/6.
1- 0.16.
0.84.
Question 39.
1 – \(\frac{5}{6}\) = 0.17.
Answer:
1 – \(\frac{5}{6}\) = 0.17.
Explanation:
In the above-given question,
given that,
1 – \(\frac{5}{6}\).
1 – 5/6.
1- 0.83.
0.17.
Question 40.
1\(\frac{5}{6}\) – \(\frac{1}{6}\) = 10/6.
Answer:
1\(\frac{5}{6}\) – \(\frac{1}{6}\) = 1.66.
Explanation:
In the above-given question,
given that,
1\(\frac{5}{6}\) – \(\frac{1}{6}\).
1(5/6) – 1/6.
11/6 – 1/6.
10/6 = 1.66.
Question 41.
1\(\frac{1}{6}\) – \(\frac{5}{6}\) = 0.33.
Answer:
1\(\frac{1}{6}\) – \(\frac{5}{6}\) = 0.33.
Explanation:
In the above-given question,
given that,
1\(\frac{1}{6}\) – \(\frac{5}{6}\).
1(1/6) – 5/6.
7/6 – 5/6.
2/6 = 0.33.
Question 42.
1 – \(\frac{5}{12}\) = 0.59.
Answer:
1 – \(\frac{5}{12}\) = 0.59.
Explanation:
In the above-given question,
given that,
1 – \(\frac{5}{12}\).
1 – 5/12.
1- 0.41.
0.59.
Question 43.
1\(\frac{1}{12}\) – \(\frac{7}{12}\) = 0.5.
Explanation:
In the above-given question,
given that,
1\(\frac{1}{12}\) – \(\frac{7}{12}\).
1(1/12) – 7/12.
13/12 – 7/12.
6/12 = 0.5.
Question 44.
1\(\frac{4}{15}\) – \(\frac{13}{15}\) = 0.4.
Explanation:
In the above-given question,
given that,
1\(\frac{4}{15}\) – \(\frac{13}{15}\).
1(4/15) – 13/15.
19/15 – 13/15.
6/15 = 0.4.
B
Subtract Fractions
Answer:
3 – 1 = 2, 3/2 – 1/2 = 1, 1 – 1/2 = 0.5, 2 – 1 = 1, 2/2 – 1/2 = 0.5, 1 – 1/2 = 0.5, 6 – 1 = 5, 6/6 – 1/6 = 0.84, 1 – 1/6 = 0.84, 10 – 1 = 9, 10/10 – 1/10 = 0.9, 1 – 1/10 = 0.9, 1 – 2/10 = 0.8, 1 – 4/10 = 0.6, 1 – 3/10 = 0.7, 1 – 1/5 = 0.8, 1 – 4/5 = 0.2, 1 – 1/8 = 0.875, 1 – 7/8 = 0.125, 1 – 3/8 = 0.625, 1 – 5/8 = 0.375, 5 – 3 = 2.
Explanation:
In the above-given question,
given that,
subtract fractions.
3 – 1 = 2, 3/2 – 1/2 = 1, 1 – 1/2 = 0.5, 2 – 1 = 1, 2/2 – 1/2 = 0.5, 1 – 1/2 = 0.5, 6 – 1 = 5, 6/6 – 1/6 = 0.84, 1 – 1/6 = 0.84, 10 – 1 = 9, 10/10 – 1/10 = 0.9, 1 – 1/10 = 0.9, 1 – 2/10 = 0.8, 1 – 4/10 = 0.6, 1 – 3/10 = 0.7, 1 – 1/5 = 0.8, 1 – 4/5 = 0.2, 1 – 1/8 = 0.875, 1 – 7/8 = 0.125, 1 – 3/8 = 0.625, 1 – 5/8 = 0.375, 5 – 3 = 2.
Answer:
5/4 – 3/4 = 0.5, 1(1/4) – 3/4 = 0.5, 1(3/4) – 1/4 = 1.5, 8 – 4 = 4, 8/5 – 4/5 = 0.8, 1(3/5) – 4/5 = 0.8, 1(4/5) – 3/5 = 1.2, 7 – 5 = 2, 7/6 – 5/6 = 0.33, 1(1/6) – 5/6 = 0.33, 1(5/6) – 1/6 = 1.6, 1 – 5/8 = 0.375, 1 – 7/8 = 1 – 0.875 = 0.375, 1(7/8) – 5/8 = 1.25, 1 (5/8) – 7/8 = 1, 1 – 1/4 = 0.75, 1 – 3/4 = 0.25, 1(3/4) – 1/4 = 1.5, 1(1/6) – 3/4 = 0.41, 1 – 7/12 = 0.42, 1(1/12) – 5/12 = 8/12 = 0.66, 1 (7/15) – 11/15 = 0.6.
Explanation:
In the above-given question,
given that,
subtract fractions.
5/4 – 3/4 = 0.5, 1(1/4) – 3/4 = 0.5, 1(3/4) – 1/4 = 1.5, 8 – 4 = 4, 8/5 – 4/5 = 0.8, 1(3/5) – 4/5 = 0.8, 1(4/5) – 3/5 = 1.2, 7 – 5 = 2, 7/6 – 5/6 = 0.33, 1(1/6) – 5/6 = 0.33, 1(5/6) – 1/6 = 1.6, 1 – 5/8 = 0.375, 1 – 7/8 = 1 – 0.875 = 0.375, 1(7/8) – 5/8 = 1.25, 1 (5/8) – 7/8 = 1, 1 – 1/4 = 0.75, 1 – 3/4 = 0.25, 1(3/4) – 1/4 = 1.5, 1(1/6) – 3/4 = 0.41, 1 – 7/12 = 0.42, 1(1/12) – 5/12 = 8/12 = 0.66, 1 (7/15) – 11/15 = 0.6.
Question 1.
3 – 1 = 2.
Answer:
3 – 1 = 2.
Explanation:
In the above-given question,
given that,
subtract fractions.
3 – 1 = 2.
Question 2.
\(\frac{3}{3}\) – \(\frac{1}{3}\) = 0.66.
Answer:
\(\frac{3}{3}\) – \(\frac{1}{3}\) = 2/3.
Explanation:
In the above-given question,
given that,
\(\frac{3}{3}\) – \(\frac{1}{3}\).
3/3 – 1/3.
2/3 = 0.66.
Question 3.
1 – \(\frac{1}{3}\) = 0.67.
Answer:
1 – \(\frac{1}{3}\) = 0.67.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{3}\).
1 – 1/3.
1- 0.33.
0.67.
Question 4.
2 – 1 = 1.
Answer:
7 – 4 = 3.
Explanation:
In the above-given question,
given that,
subtract fractions.
7 – 4 = 3.
Question 5.
\(\frac{2}{2}\) – \(\frac{1}{2}\) = 0.5.
Answer:
\(\frac{2}{2}\) – \(\frac{1}{2}\) = 1/2.
Explanation:
In the above-given question,
given that,
\(\frac{2}{2}\) – \(\frac{1}{2}\).
1 – 1/2.
1 – 0.5.
0.5.
Question 6.
1 – \(\frac{1}{2}\) = 0.5.
Answer:
1 – \(\frac{1}{2}\) = 0.5.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{2}\).
1 – 1/2.
1- 0.5.
0.5.
Question 7.
6 – 1 = 5.
Answer:
6 – 1 = 5.
Explanation:
In the above-given question,
given that,
subtract fractions.
6 – 1 = 5.
Question 8.
\(\frac{6}{6}\) – \(\frac{1}{6}\) = 0.9.
Answer:
\(\frac{6}{6}\) – \(\frac{1}{6}\) = 0.9.
Explanation:
In the above-given question,
given that,
\(\frac{6}{6}\) – \(\frac{1}{6}\).
1 – 1/6.
1 -0.1.
0.9.
Question 9.
1 – \(\frac{1}{6}\) = 0.84.
Answer:
1 – \(\frac{1}{6}\) = 0.84.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{6}\).
1 – 1/6.
1- 0.1..
0.84.
Question 10.
10 – 1 = 9.
Answer:
10 – 1 = 9.
Explanation:
In the above-given question,
given that,
subtract fractions.
10 – 1 = 9.
Question 11.
\(\frac{10}{10}\) – \(\frac{1}{10}\) = 0.9.
Answer:
\(\frac{10}{10}\) – \(\frac{1}{10}\) = 0.9.
Explanation:
In the above-given question,
given that,
\(\frac{10}{10}\) – \(\frac{1}{10}\).
1 – 1/10.
1 -0.1.
0.9.
Question 12.
1 – \(\frac{1}{10}\) = 0.9.
Answer:
1 – \(\frac{1}{10}\) = 0.9.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{10}\).
1 – 1/10.
1- 0.1.
0.9.
Question 13.
1 – \(\frac{2}{10}\) = 0.8.
Answer:
1 – \(\frac{2}{10}\) = 0.8.
Explanation:
In the above-given question,
given that,
1 – \(\frac{2}{10}\).
1 – 2/10.
1- 0.2.
0.8.
Question 14.
1 – \(\frac{4}{10}\) = 0.9.
Answer:
1 – \(\frac{1}{10}\) = 0.9.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{10}\).
1 – 1/10.
1- 0.1.
0.9.
Question 15.
1 – \(\frac{3}{10}\) = 0.7.
Answer:
1 – \(\frac{3}{10}\) = 0.7.
Explanation:
In the above-given question,
given that,
1 – \(\frac{3}{10}\).
1 – 3/10.
1- 0.3.
0.7.
Question 16.
1 – \(\frac{1}{5}\) = 0.8.
Answer:
1 – \(\frac{1}{5}\) = 0.8.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{5}\).
1 – 1/5.
1- 0.2.
0.8.
Question 17.
1 – \(\frac{4}{5}\) = 0.2.
Answer:
1 – \(\frac{4}{5}\) = 0.2.
Explanation:
In the above-given question,
given that,
1 – \(\frac{4}{5}\).
1 – 4/5.
1- 0.8.
0.2.
Question 18.
1 – \(\frac{1}{8}\) = 0.875.
Answer:
1 – \(\frac{1}{8}\) = 0.875.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{8}\).
1 – 1/8.
1- 0.125.
0.875.
Question 19.
1 – \(\frac{7}{8}\) = 0.125.
Answer:
1 – \(\frac{7}{8}\) = 0.125.
Explanation:
In the above-given question,
given that,
1 – \(\frac{7}{8}\).
1 – 7/8.
1- 0.875.
0.125.
Question 20.
1 – \(\frac{3}{8}\) = 0.625.
Answer:
1 – \(\frac{3}{8}\) = 0.625.
Explanation:
In the above-given question,
given that,
1 – \(\frac{3}{8}\).
1 – 3/8.
1- 0.375.
0.625.
Question 21.
1 – \(\frac{5}{8}\) = 0.375.
Answer:
1 – \(\frac{5}{8}\) = 0.375.
Explanation:
In the above-given question,
given that,
1 – \(\frac{5}{8}\).
1 – 5/8.
1- 0.625.
0.375.
Question 22.
5 – 3 = 2.
Answer:
5 – 3 = 2.
Explanation:
In the above-given question,
given that,
subtract fractions.
5 – 3 = 2.
Question 23.
\(\frac{5}{4}\) – \(\frac{3}{4}\) = 0.5.
Answer:
\(\frac{5}{4}\) – \(\frac{3}{4}\) = 0.5.
Explanation:
In the above-given question,
given that,
\(\frac{5}{4}\) – \(\frac{3}{4}\).
5/4 – 3/4.
2/4 .
0.5.
Question 24.
1\(\frac{1}{4}\) – \(\frac{3}{4}\) = 0.5.
Answer:
1\(\frac{1}{4}\) – \(\frac{3}{4}\) = 0.5.
Explanation:
In the above-given question,
given that,
1\(\frac{1}{4}\) – \(\frac{3}{4}\).
1(1/4) – 3/4.
5/4 – 3/4.
2/4 = 0.5.
Question 25.
1\(\frac{3}{4}\) – \(\frac{1}{4}\) = 1.5.
Answer:
1\(\frac{3}{4}\) – \(\frac{1}{4}\) = 1.5.
Explanation:
In the above-given question,
given that,
1\(\frac{3}{4}\) – \(\frac{1}{4}\).
1(3/4) – 1/4.
7/4 – 1/4.
6/4 = 1.5.
Question 26.
8 – 4 = 4.
Answer:
8 – 4 = 4.
Explanation:
In the above-given question,
given that,
subtract fractions.
8 – 4 = 4.
Question 27.
\(\frac{8}{5}\) – \(\frac{4}{5}\) = 0.8.
Answer:
\(\frac{8}{5}\) – \(\frac{4}{5}\) = 0.8.
Explanation:
In the above-given question,
given that,
\(\frac{8}{5}\) – \(\frac{4}{5}\).
(8/5) – 4/5.
4/5 = 0.8.
Question 28.
1\(\frac{3}{5}\) – \(\frac{4}{5}\) = 0.8.
Answer:
1\(\frac{3}{5}\) – \(\frac{4}{5}\) = 0.8.
Explanation:
In the above-given question,
given that,
1\(\frac{3}{5}\) – \(\frac{4}{5}\).
1(3/5) – 4/5.
8/5 – 4/5.
4/5 = 0.8.
Question 29.
1\(\frac{4}{5}\) – \(\frac{3}{5}\) = 1.2.
Answer:
1\(\frac{4}{5}\) – \(\frac{3}{5}\) = 1.2.
Explanation:
In the above-given question,
given that,
1\(\frac{4}{5}\) – \(\frac{3}{5}\).
1(4/5) – 3/5.
9/5 – 3/5.
6/5 = 1.2.
Question 30.
7 – 5 = 2.
Answer:
7 – 5 = 2.
Explanation:
In the above-given question,
given that,
subtract fractions.
7 – 5 = 2.
Question 31.
\(\frac{7}{6}\) – \(\frac{5}{6}\) = 0.33.
Answer:
\(\frac{7}{6}\) – \(\frac{5}{6}\) = 0.33.
Explanation:
In the above-given question,
given that,
\(\frac{7}{6}\) – \(\frac{5}{6}\).
(7/6) – 5/6.
2/6 = 0.33.
Question 32.
1\(\frac{1}{6}\) – \(\frac{5}{6}\) = 0.33.
Answer:
1\(\frac{1}{6}\) – \(\frac{5}{6}\) = 0.33.
Explanation:
In the above-given question,
given that,
1\(\frac{1}{6}\) – \(\frac{5}{6}\).
1(1/6) – 5/6.
7/6 – 5/6.
2/6 = 0.33.
Question 33.
1\(\frac{5}{6}\) – \(\frac{1}{6}\) = 1.66.
Answer:
1\(\frac{5}{6}\) – \(\frac{1}{6}\) = 1.66.
Explanation:
In the above-given question,
given that,
1\(\frac{5}{6}\) – \(\frac{1}{6}\).
1(5/6) – 1/6.
11/6 – 1/6.
10/6 = 1.66.
Question 34.
1 – \(\frac{5}{8}\) = 0.375.
Answer:
1 – \(\frac{5}{8}\) = 0.375.
Explanation:
In the above-given question,
given that,
1 – \(\frac{5}{8}\).
1 – 5/8.
1- 0.625.
0.375.
Question 35.
1 – \(\frac{7}{8}\) = 0.125.
Answer:
1 – \(\frac{7}{8}\) = 0.125.
Explanation:
In the above-given question,
given that,
1 – \(\frac{7}{8}\).
1 – 7/8.
1- 0.875.
0.125.
Question 36.
1\(\frac{7}{8}\) – \(\frac{5}{8}\) = 1.25.
Answer:
1\(\frac{7}{8}\) – \(\frac{5}{8}\) = 1.25.
Explanation:
In the above-given question,
given that,
1\(\frac{7}{8}\) – \(\frac{5}{8}\).
1(7/8) – 5/8.
15/8 – 5/8.
10/8 = 1.25.
Question 37.
1\(\frac{5}{8}\) – \(\frac{7}{8}\) = 1.
Answer:
1\(\frac{5}{8}\) – \(\frac{7}{8}\) = 1.
Explanation:
In the above-given question,
given that,
1\(\frac{5}{8}\) – \(\frac{7}{8}\).
1(5/8) – 7/8.
13/8 – 7/8.
8/8 = 1.
Question 38.
1 – \(\frac{1}{4}\) = 0.75.
Answer:
1 – \(\frac{1}{4}\) = 0.75.
Explanation:
In the above-given question,
given that,
1 – \(\frac{1}{4}\).
1 – 1/4.
1- 0.25.
0.75.
Question 39.
1 – \(\frac{3}{4}\) = 0.25.
Answer:
1 – \(\frac{3}{4}\) = 0.25.
Explanation:
In the above-given question,
given that,
1 – \(\frac{3}{4}\).
1 – 3/4.
1- 0.75.
0.25.
Question 40.
1\(\frac{3}{4}\) – \(\frac{1}{4}\) = 1.5.
Answer:
1\(\frac{3}{4}\) – \(\frac{1}{4}\) = 1.5.
Explanation:
In the above-given question,
given that,
1\(\frac{3}{4}\) – \(\frac{1}{4}\).
1(3/4) – 1/4.
7/4 – 1/4.
6/4 = 1.5.
Question 41.
1\(\frac{1}{4}\) – \(\frac{3}{4}\) = 0.5.
Answer:
1\(\frac{1}{4}\) – \(\frac{3}{4}\) = 0.5.
Explanation:
In the above-given question,
given that,
1\(\frac{1}{4}\) – \(\frac{3}{4}\).
1(1/4) – 3/4.
5/4 – 3/4.
2/4 = 0.5.
Question 42.
1 – \(\frac{7}{12}\) = 0.42.
Answer:
1 – \(\frac{7}{12}\) = 0.42.
Explanation:
In the above-given question,
given that,
1 – \(\frac{7}{12}\).
1 – 7/12.
1- 0.58.
0.42.
Question 43.
1\(\frac{1}{12}\) – \(\frac{5}{12}\) = 0.66.
1\(\frac{1}{12}\) – \(\frac{5}{12}\) = 0.66.
Explanation:
In the above-given question,
given that,
1\(\frac{1}{12}\) – \(\frac{5}{12}\).
1(1/12) – 5/12.
13/12 – 5/12.
8/12 = 0.66.
Question 44.
1\(\frac{7}{15}\) – \(\frac{11}{15}\) = 0.73.
1\(\frac{7}{15}\) – \(\frac{11}{15}\) = 0.73.
Explanation:
In the above-given question,
given that,
1\(\frac{7}{15}\) – \(\frac{11}{15}\).
1(7/15) – 11/15.
22/15 – 11/15.
11/15 = 0.73.
Eureka Math Grade 4 Module 5 Lesson 21 Problem Set Answer Key
Question 1.
Draw a tape diagram to represent each addend. Decompose one of the tape diagrams to make like units. Then, write a complete number sentence. Use a number bond to write each sum as a mixed number.
a. \(\frac{3}{4}\) + \(\frac{1}{2}\)
Answer:
\(\frac{3}{4}\) + \(\frac{1}{2}\) = 1 + 1/4.
Explanation:
In the above-given question,
given that,
\(\frac{3}{4}\) + \(\frac{1}{2}\).
3/4 + 1/2.
4/4 = 1.
b. \(\frac{2}{3}\) + \(\frac{3}{6}\)
Answer:
\(\frac{2}{3}\) + \(\frac{3}{6}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{2}{3}\) + \(\frac{3}{6}\).
2/3 + 3/6.
3/3 = 1.
c. \(\frac{5}{6}\) + \(\frac{1}{3}\)
Answer:
\(\frac{5}{6}\) + \(\frac{1}{3}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{5}{6}\) + \(\frac{1}{3}\).
5/6 + 1/3.
6/6 = 1.
d. \(\frac{4}{5}\) + \(\frac{7}{10}\)
Answer:
\(\frac{4}{5}\) + \(\frac{7}{10}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{4}{5}\) + \(\frac{7}{10}\).
4/5 + 7/10.
11/10.
Question 2.
Draw a number line to model the addition. Then, write a complete number sentence. Use a number bond to write each sum as a mixed number.
a. \(\frac{1}{2}\) + \(\frac{3}{4}\)
Answer:
\(\frac{1}{2}\) + \(\frac{3}{4}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{1}{2}\) + \(\frac{3}{4}\).
3/4 + 1/2.
4/4 = 1.
b. \(\frac{1}{2}\) + \(\frac{6}{8}\)
Answer:
\(\frac{1}{2}\) + \(\frac{6}{8}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{1}{2}\) + \(\frac{6}{8}\).
6/8 + 1/2.
4/4 = 1.
c. \(\frac{7}{10}\) + \(\frac{3}{5}\)
Answer:
\(\frac{7}{10}\) + \(\frac{3}{5}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{3}{5}\).
7/10 + 3/5.
10/10 = 1.
d. \(\frac{2}{3}\) + \(\frac{5}{6}\)
Answer:
\(\frac{2}{3}\) + \(\frac{5}{6}\) = 1 + 1/6.
Explanation:
In the above-given question,
given that,
\(\frac{2}{3}\) + \(\frac{5}{6}\).
2/3 + 5/6.
7/6 = 1 + 1/6.
Question 3.
Solve. Write the sum as a mixed number. Draw a model if needed.
a. \(\frac{3}{4}\) + \(\frac{2}{8}\)
Answer:
\(\frac{3}{4}\) + \(\frac{2}{8}\) = 1/4.
Explanation:
In the above-given question,
given that,
\(\frac{3}{4}\) + \(\frac{2}{8}\).
3/4 + 2/4.
1/4.
b. \(\frac{4}{6}\) + \(\frac{1}{2}\)
Answer:
\(\frac{4}{6}\) + \(\frac{1}{2}\) = 0.5.
Explanation:
In the above-given question,
given that,
\(\frac{4}{6}\) + \(\frac{1}{2}\).
4/6 + 1/2.
3/6 = 1/2.
1/2 = 0.5.
c. \(\frac{4}{6}\) + \(\frac{2}{3}\)
Answer:
\(\frac{4}{6}\) + \(\frac{2}{3}\) = 4/3.
Explanation:
In the above-given question,
given that,
\(\frac{4}{6}\) + \(\frac{2}{3}\).
4/6 + 2/3.
4/3.
d. \(\frac{8}{10}\) + \(\frac{3}{5}\)
Answer:
\(\frac{8}{10}\) + \(\frac{3}{5}\) = 7/5.
Explanation:
In the above-given question,
given that,
\(\frac{8}{10}\) + \(\frac{3}{5}\).
8/10 + 3/5.
8/10 = 4/5.
4/5 + 3/5.
7/5.
e. \(\frac{5}{8}\) + \(\frac{3}{4}\)
Answer:
\(\frac{5}{8}\) + \(\frac{3}{4}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{5}{8}\) + \(\frac{3}{4}\).
5/8 + 3/4.
8/8 = 1.
f. \(\frac{5}{8}\) + \(\frac{2}{4}\)
Answer:
\(\frac{5}{8}\) + \(\frac{2}{4}\) = 7/4.
Explanation:
In the above-given question,
given that,
\(\frac{5}{8}\) + \(\frac{2}{4}\).
5/8 + 2/4.
7/4.
g. \(\frac{1}{2}\) + \(\frac{5}{8}\)
Answer:
\(\frac{1}{2}\) + \(\frac{5}{8}\) = 6/8.
Explanation:
In the above-given question,
given that,
\(\frac{1}{2}\) + \(\frac{5}{8}\).
5/8 + 1/2.
6/8.
h. \(\frac{3}{10}\) + \(\frac{4}{5}\)
Answer:
\(\frac{3}{10}\) + \(\frac{4}{5}\) = 7/10.
Explanation:
In the above-given question,
given that,
\(\frac{3}{10}\) + \(\frac{4}{5}\).
3/10 + 4/5.
7/10 = 0.7.
Eureka Math Grade 4 Module 5 Lesson 21 Exit Ticket Answer Key
Solve. Write a complete number sentence. Use a number bond to write each sum as a mixed number.
Use a model if needed.
Question 1.
\(\frac{1}{4}\) + \(\frac{7}{8}\)
Answer:
\(\frac{1}{4}\) + \(\frac{7}{8}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{1}{4}\) + \(\frac{7}{8}\).
1/4 + 7/8.
8/8 = 1.
Question 2.
\(\frac{2}{3}\) + \(\frac{7}{12}\)
Answer:
\(\frac{2}{3}\) + \(\frac{7}{12}\) = 3/4.
Explanation:
In the above-given question,
given that,
\(\frac{2}{3}\) + \(\frac{7}{12}\).
2/3 + 7/12.
9/12 = 3/4.
Eureka Math Grade 4 Module 5 Lesson 21 Homework Answer Key
Question 1.
Draw a tape diagram to represent each addend. Decompose one of the tape diagrams to make like units. Then, write a complete number sentence. Use a number bond to write each sum as a mixed number.
a. \(\frac{7}{8}\) + \(\frac{1}{4}\)
Answer:
\(\frac{7}{8}\) + \(\frac{1}{4}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{7}{8}\) + \(\frac{1}{4}\).
7/8 + 1/4.
8/8 = 1.
b. \(\frac{4}{8}\) + \(\frac{2}{4}\)
Answer:
\(\frac{4}{8}\) + \(\frac{2}{4}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{4}{8}\) + \(\frac{2}{4}\).
4/8 + 2/4.
4/4 = 1.
c. \(\frac{4}{6}\) + \(\frac{1}{2}\)
Answer:
\(\frac{4}{6}\) + \(\frac{1}{2}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{4}{6}\) + \(\frac{1}{2}\).
4/6 + 1/2.
3/6 = 1/2.
1/2 = 0.5.
d. \(\frac{3}{5}\) + \(\frac{8}{10}\)
Answer:
\(\frac{3}{5}\) + \(\frac{8}{10}\) = 7/5.
Explanation:
In the above-given question,
given that,
\(\frac{3}{5}\) + \(\frac{8}{10}\).
3/5 + 8/10.
7/5.
Question 2.
Draw a number line to model the addition. Then, write a complete number sentence. Use a number bond to write each sum as a mixed number.
a. \(\frac{1}{2}\) + \(\frac{5}{8}\)
Answer:
\(\frac{1}{2}\) + \(\frac{5}{8}\) = 3/4.
Explanation:
In the above-given question,
given that,
\(\frac{1}{2}\) + \(\frac{5}{8}\).
5/8 + 1/2.
6/8 = 3/4.
b. \(\frac{3}{4}\) + \(\frac{3}{8}\)
Answer:
\(\frac{3}{4}\) + \(\frac{3}{4}\) = 3/2.
Explanation:
In the above-given question,
given that,
\(\frac{3}{4}\) + \(\frac{3}{4}\).
3/4 + 3/4.
6/4 = 3/2.
c. \(\frac{4}{10}\) + \(\frac{4}{5}\)
Answer:
\(\frac{4}{10}\) + \(\frac{4}{5}\) = 6/5.
Explanation:
In the above-given question,
given that,
\(\frac{4}{10}\) + \(\frac{4}{5}\).
4/10 + 4/5.
6/5.
d. \(\frac{1}{3}\) + \(\frac{5}{6}\)
Answer:
\(\frac{1}{3}\) + \(\frac{5}{6}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{1}{3}\) + \(\frac{5}{6}\).
5/6 + 1/3.
6/6 = 1.
Question 3.
Solve. Write the sum as a mixed number. Draw a model if needed.
a. \(\frac{1}{2}\) + \(\frac{6}{8}\)
Answer:
\(\frac{1}{2}\) + \(\frac{6}{8}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{1}{2}\) + \(\frac{6}{8}\).
1/2 + 6/8.
4/4 = 1.
b. \(\frac{7}{8}\) + \(\frac{3}{4}\)
Answer:
\(\frac{7}{8}\) + \(\frac{3}{4}\) = 5/2.
Explanation:
In the above-given question,
given that,
\(\frac{7}{8}\) + \(\frac{3}{4}\).
3/4 + 7/8.
10/8 = 5/2.
c. \(\frac{5}{6}\) + \(\frac{1}{3}\)
Answer:
\(\frac{5}{6}\) + \(\frac{1}{3}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{5}{6}\) + \(\frac{1}{3}\).
5/6 + 1/3.
6/6 = 1.
d. \(\frac{9}{10}\) + \(\frac{2}{5}\)
Answer:
\(\frac{9}{10}\) + \(\frac{2}{5}\) = 1.1.
Explanation:
In the above-given question,
given that,
\(\frac{9}{10}\) + \(\frac{2}{5}\).
9/10 + 2/5.
11/10 = 1.1.
e. \(\frac{4}{12}\) + \(\frac{3}{4}\)
Answer:
\(\frac{4}{12}\) + \(\frac{3}{4}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{4}{12}\) + \(\frac{3}{4}\).
3/4 + 4/12.
4/4 = 1.
f. \(\frac{1}{2}\) + \(\frac{5}{6}\)
Answer:
\(\frac{1}{2}\) + \(\frac{5}{6}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{1}{2}\) + \(\frac{5}{6}\).
5/6 + 1/2.
6/6 = 1.
g. \(\frac{3}{12}\) + \(\frac{5}{6}\)
Answer:
\(\frac{3}{12}\) + \(\frac{5}{6}\) = 1.
Explanation:
In the above-given question,
given that,
\(\frac{3}{12}\) + \(\frac{5}{6}\).
3/12 + 5/6.
6/6 = 1.
h. \(\frac{7}{10}\) + \(\frac{4}{5}\)
Answer:
\(\frac{7}{10}\) + \(\frac{4}{5}\) = 1.1
Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{4}{5}\).
7/10 + 4/5.
11/10 = 1.1.