Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 6 Lesson 6.6 Dividing Whole Numbers by Fractions regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 6 Lesson 6.6 Dividing Whole Numbers by Fractions Answers Key
To divide a whole number by a fraction, first write the whole number as a fraction. Then, multiply by the reciprocal of the divisor.
Divide. Write answers in simplest form.
Question 1.
a. 5 ÷ \(\frac{1}{3}\) = _______________
Answer:
15
Explanation:
Given,
5 ÷ \(\frac{1}{3}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{5}{1}\) ÷ \(\frac{1}{3}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{5}{1}\) × \(\frac{3}{1}\)
Multiply across numerators and denominators.
\(\frac{5 \times 3}{1 \times 1}\) = 15
b. 6 ÷ \(\frac{1}{8}\) = _______________
Answer:
48
Explanation:
Given,
6 ÷ \(\frac{1}{8}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{6}{1}\) ÷ \(\frac{1}{8}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{6}{1}\) × \(\frac{8}{1}\)
Multiply across numerators and denominators.
\(\frac{6 \times 8}{1 \times 1}\) = 48
c. 2 ÷ \(\frac{1}{5}\) = _______________
Answer:
10
Explanation:
Given,
2 ÷ \(\frac{1}{5}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{2}{1}\) ÷ \(\frac{1}{5}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{2}{1}\) × \(\frac{5}{1}\)
Multiply across numerators and denominators.
\(\frac{2 \times 5}{1 \times 1}\) = 10
d. 8 ÷ \(\frac{1}{7}\) = _______________
Answer:
56
Explanation:
Given,
8 ÷ \(\frac{1}{7}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{8}{1}\) ÷ \(\frac{1}{7}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{8}{1}\) × \(\frac{7}{1}\)
Multiply across numerators and denominators.
\(\frac{8 \times 7}{1 \times 1}\) = 56
Question 2.
a. 9 ÷ \(\frac{1}{4}\) = _______________
Answer:
36
Explanation:
Given,
9 ÷ \(\frac{1}{4}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{9}{1}\) ÷ \(\frac{1}{4}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{9}{1}\) × \(\frac{4}{1}\)
Multiply across numerators and denominators.
\(\frac{9 \times 4}{1 \times 1}\) = 36
b. 10 ÷ \(\frac{1}{6}\) = _______________
Answer:
60
Explanation:
Given,
10 ÷ \(\frac{1}{6}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{10}{1}\) ÷ \(\frac{1}{6}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{10}{1}\) × \(\frac{6}{1}\)
Multiply across numerators and denominators.
\(\frac{10 \times 6}{1 \times 1}\) = 60
c. 15 ÷ \(\frac{1}{5}\) = _______________
Answer:
75
Explanation:
Given,
15 ÷ \(\frac{1}{5}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{15}{1}\) ÷ \(\frac{1}{5}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{15}{1}\) × \(\frac{5}{1}\)
Multiply across numerators and denominators.
\(\frac{15 \times 5}{1 \times 1}\) = 75
d. 4 ÷ \(\frac{1}{8}\) = _______________
Answer:
32
Explanation:
Given,
4 ÷ \(\frac{1}{8}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{4}{1}\) ÷ \(\frac{1}{8}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{4}{1}\) × \(\frac{8}{1}\)
Multiply across numerators and denominators.
\(\frac{4 \times 8}{1 \times 1}\) = 32
Question 3.
a. 4 ÷ \(\frac{1}{5}\) = _______________
Answer:
20
Explanation:
Given,
4 ÷ \(\frac{1}{5}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{4}{1}\) ÷ \(\frac{1}{5}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{4}{1}\) × \(\frac{5}{1}\)
Multiply across numerators and denominators.
\(\frac{4 \times 5}{1 \times 1}\) = 20
b. 5 ÷ \(\frac{1}{9}\) = _______________
Answer:
45
Explanation:
Given,
5 ÷ \(\frac{1}{9}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{5}{1}\) ÷ \(\frac{1}{9}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{5}{1}\) × \(\frac{9}{1}\)
Multiply across numerators and denominators.
\(\frac{5 \times 9}{1 \times 1}\) = 45
c. 5 ÷ \(\frac{1}{5}\) = _______________
Answer:
25
Explanation:
Given,
5 ÷ \(\frac{1}{5}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{5}{1}\) ÷ \(\frac{1}{5}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{5}{1}\) × \(\frac{5}{1}\)
Multiply across numerators and denominators.
\(\frac{5 \times 5}{1 \times 1}\) = 25
d. 10 ÷ \(\frac{1}{11}\) = _______________
Answer:
110
Explanation:
Given,
10 ÷ \(\frac{1}{11}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{10}{1}\) ÷ \(\frac{1}{11}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{10}{1}\) × \(\frac{11}{1}\)
Multiply across numerators and denominators.
\(\frac{10 \times 11}{1 \times 1}\) = 110
Question 4.
a. 4 ÷ \(\frac{1}{12}\) = _______________
Answer:
48
Explanation:
Given,
4 ÷ \(\frac{1}{12}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{4}{1}\) ÷ \(\frac{1}{12}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{4}{1}\) × \(\frac{12}{1}\)
Multiply across numerators and denominators.
\(\frac{4 \times 12}{1 \times 1}\) = 48
b. 6 ÷ \(\frac{1}{9}\) = _______________
Answer:
54
Explanation:
Given,
6 ÷ \(\frac{1}{9}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{6}{1}\) ÷ \(\frac{1}{9}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{6}{1}\) × \(\frac{9}{1}\)
Multiply across numerators and denominators.
\(\frac{6 \times 9}{1 \times 1}\) = 54
c. 3 ÷ \(\frac{1}{7}\) = _______________
Answer:
21
Explanation:
Given,
3 ÷ \(\frac{1}{7}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{3}{1}\) ÷ \(\frac{1}{7}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{3}{1}\) × \(\frac{7}{1}\)
Multiply across numerators and denominators.
\(\frac{3 \times 7}{1 \times 1}\) = 21
d. 5 ÷ \(\frac{1}{12}\) = _______________
Answer:
35
Explanation:
Given,
5 ÷ \(\frac{1}{12}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{5}{1}\) ÷ \(\frac{1}{12}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{5}{1}\) × \(\frac{12}{1}\)
Multiply across numerators and denominators.
\(\frac{5 \times 12}{1 \times 1}\) = 60
Divide. Write answers in simplest form.
Question 1.
a. 4 ÷ \(\frac{1}{3}\) = _______________
Answer:
12
Explanation:
Given,
4 ÷ \(\frac{1}{3}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{4}{1}\) ÷ \(\frac{1}{3}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{4}{1}\) × \(\frac{3}{1}\)
Multiply across numerators and denominators.
\(\frac{4 \times 3}{1 \times 1}\) = 12
b. 12 ÷ \(\frac{1}{5}\) = _______________
Answer:
60
Explanation:
Given,
12 ÷ \(\frac{1}{5}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{12}{1}\) ÷ \(\frac{1}{5}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{12}{1}\) × \(\frac{5}{1}\)
Multiply across numerators and denominators.
\(\frac{12 \times 5}{1 \times 1}\) = 60
c. 19 ÷ \(\frac{1}{6}\) = _______________
Answer:
114
Explanation:
Given,
19 ÷ \(\frac{1}{6}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{19}{1}\) ÷ \(\frac{1}{6}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{19}{1}\) × \(\frac{6}{1}\)
Multiply across numerators and denominators.
\(\frac{19 \times 6}{1 \times 1}\) = 114
d. 10 ÷ \(\frac{1}{6}\) = _______________
Answer:
60
Explanation:
Given,
10 ÷ \(\frac{1}{6}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{10}{1}\) ÷ \(\frac{1}{6}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{10}{1}\) × \(\frac{6}{1}\)
Multiply across numerators and denominators.
\(\frac{10 \times 6}{1 \times 1}\) = 60
Question 2.
a. 17 ÷ \(\frac{1}{4}\) = _______________
Answer:
68
Explanation:
Given,
17 ÷ \(\frac{1}{4}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{17}{1}\) ÷ \(\frac{1}{4}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{17}{1}\) × \(\frac{4}{1}\)
Multiply across numerators and denominators.
\(\frac{17 \times 4}{1 \times 1}\) = 68
b. 16 ÷ \(\frac{1}{9}\) = _______________
Answer:
144
Explanation:
Given,
16 ÷ \(\frac{1}{9}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{16}{1}\) ÷ \(\frac{1}{9}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{16}{1}\) × \(\frac{9}{1}\)
Multiply across numerators and denominators.
\(\frac{16 \times 9}{1 \times 1}\) = 144
c. 9 ÷ \(\frac{1}{6}\) = _______________
Answer:
54
Explanation:
Given,
9 ÷ \(\frac{1}{6}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{9}{1}\) ÷ \(\frac{1}{6}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{9}{1}\) × \(\frac{6}{1}\)
Multiply across numerators and denominators.
\(\frac{9 \times 6}{1 \times 1}\) = 54
d. 7 ÷ \(\frac{1}{2}\) = _______________
Answer:
14
Explanation:
Given,
7 ÷ \(\frac{1}{2}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{7}{1}\) ÷ \(\frac{1}{2}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{7}{1}\) × \(\frac{2}{1}\)
Multiply across numerators and denominators.
\(\frac{7 \times 2}{1 \times 1}\) = 14
Question 3.
a. 2 ÷ \(\frac{1}{5}\) = _______________
Answer:
10
Explanation:
Given,
2 ÷ \(\frac{1}{5}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{2}{1}\) ÷ \(\frac{1}{5}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{2}{1}\) × \(\frac{5}{1}\)
Multiply across numerators and denominators.
\(\frac{2 \times 5}{1 \times 1}\) = 10
b. 14 ÷ \(\frac{1}{5}\) = _______________
Answer:
70
Explanation:
Given,
14 ÷ \(\frac{1}{5}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{14}{1}\) ÷ \(\frac{1}{5}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{14}{1}\) × \(\frac{5}{1}\)
Multiply across numerators and denominators.
\(\frac{14 \times 5}{1 \times 1}\) = 70
c. 4 ÷ \(\frac{1}{10}\) = _______________
Answer:
40
Explanation:
Given,
4 ÷ \(\frac{1}{10}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{4}{1}\) ÷ \(\frac{1}{10}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{4}{1}\) × \(\frac{10}{1}\)
Multiply across numerators and denominators.
\(\frac{4 \times 10}{1 \times 1}\) = 40
d. 8 ÷ \(\frac{1}{8}\) = _______________
Answer:
64
Explanation:
Given,
8 ÷ \(\frac{1}{8}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{8}{1}\) ÷ \(\frac{1}{8}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{8}{1}\) × \(\frac{8}{1}\)
Multiply across numerators and denominators.
\(\frac{8 \times 8}{1 \times 1}\) = 64
Question 4.
a. 2 ÷ \(\frac{1}{7}\) = _______________
Answer:
14
Explanation:
Given,
2 ÷ \(\frac{1}{7}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{2}{1}\) ÷ \(\frac{1}{7}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{2}{1}\) × \(\frac{7}{1}\)
Multiply across numerators and denominators.
\(\frac{2 \times 7}{1 \times 1}\) = 14
b. 16 ÷ \(\frac{1}{5}\) = _______________
Answer:
80
Explanation:
Given,
16 ÷ \(\frac{1}{5}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{16}{1}\) ÷ \(\frac{1}{5}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{16}{1}\) × \(\frac{5}{1}\)
Multiply across numerators and denominators.
\(\frac{16 \times 5}{1 \times 1}\) = 80
c. 13 ÷ \(\frac{1}{5}\) = _______________
Answer:
65
Explanation:
Given,
13 ÷ \(\frac{1}{5}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{13}{1}\) ÷ \(\frac{1}{5}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{13}{1}\) × \(\frac{5}{1}\)
Multiply across numerators and denominators.
\(\frac{13 \times 5}{1 \times 1}\) = 65
d. 12 ÷ \(\frac{1}{3}\) = _______________
Answer:
36
Explanation:
Given,
12 ÷ \(\frac{1}{3}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{12}{1}\) ÷ \(\frac{1}{3}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{12}{1}\) × \(\frac{3}{1}\)
Multiply across numerators and denominators.
\(\frac{12 \times 3}{1 \times 1}\) = 36
Question 5.
a. 5 ÷ \(\frac{1}{7}\) = _______________
Answer:
35
Explanation:
Given,
5 ÷ \(\frac{1}{7}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{5}{1}\) ÷ \(\frac{1}{7}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{5}{1}\) × \(\frac{7}{1}\)
Multiply across numerators and denominators.
\(\frac{5 \times 7}{1 \times 1}\) = 35
b. 3 ÷ \(\frac{1}{9}\) = _______________
Answer:
27
Explanation:
Given,
3 ÷ \(\frac{1}{9}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{3}{1}\) ÷ \(\frac{1}{9}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{3}{1}\) × \(\frac{9}{1}\)
Multiply across numerators and denominators.
\(\frac{3 \times 9}{1 \times 1}\) = 27
c. 15 ÷ \(\frac{1}{8}\) = _______________
Answer:
120
Explanation:
Given,
15 ÷ \(\frac{1}{8}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{15}{1}\) ÷ \(\frac{1}{8}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{15}{1}\) × \(\frac{8}{1}\)
Multiply across numerators and denominators.
\(\frac{15 \times 8}{1 \times 1}\) = 120
d. 6 ÷ \(\frac{1}{7}\) = _______________
Answer:
42
Explanation:
Given,
6 ÷ \(\frac{1}{7}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{6}{1}\) ÷ \(\frac{1}{7}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{6}{1}\) × \(\frac{7}{1}\)
Multiply across numerators and denominators.
\(\frac{6 \times 7}{1 \times 1}\) = 42
Question 6.
a. 11 ÷ \(\frac{1}{2}\) = _______________
Answer:
22
Explanation:
Given,
11 ÷ \(\frac{1}{2}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{11}{1}\) ÷ \(\frac{1}{2}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{11}{1}\) × \(\frac{2}{1}\)
Multiply across numerators and denominators.
\(\frac{11 \times 2}{1 \times 1}\) = 22
b. 19 ÷ \(\frac{1}{3}\) = _______________
Answer:
57
Explanation:
Given,
19 ÷ \(\frac{1}{3}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{19}{1}\) ÷ \(\frac{1}{3}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{19}{1}\) × \(\frac{3}{1}\)
Multiply across numerators and denominators.
\(\frac{19 \times 3}{1 \times 1}\) = 57
c. 8 ÷ \(\frac{1}{9}\) = _______________
Answer:
72
Explanation:
Given,
8 ÷ \(\frac{1}{9}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{8}{1}\) ÷ \(\frac{1}{9}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{8}{1}\) × \(\frac{9}{1}\)
Multiply across numerators and denominators.
\(\frac{8 \times 9}{1 \times 1}\) = 72
d. 18 ÷ \(\frac{1}{5}\) = _______________
Answer:
90
Explanation:
Given,
18 ÷ \(\frac{1}{5}\)
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{18}{1}\) ÷ \(\frac{1}{5}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{18}{1}\) × \(\frac{5}{1}\)
Multiply across numerators and denominators.
\(\frac{18 \times 5}{1 \times 1}\) = 90