# Spectrum Math Grade 5 Chapter 6 Lesson 1 Answer Key Multiplying Fractions Using Models

Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 6 Lesson 6.1 Multiplying Fractions Using Models regularly and improve your accuracy in solving questions.

## Spectrum Math Grade 5 Chapter 6 Lesson 6.1 Multiplying Fractions Using Models Answers Key

You can use visual models to multiply fractions.
7 × $$\frac{1}{2}$$

Or, you can follow the mathematical procedure.
7 × $$\frac{1}{2}$$
$$\frac{7}{1}$$ × $$\frac{1}{2}$$
$$\frac{7 \times 1}{1 \times 2}$$ = $$\frac{7}{2}$$ or 3$$\frac{1}{2}$$

Use visual models to solve each problem. Write answers in simplest form.

Question 1.
a. 3 × $$\frac{1}{8}$$ = ______________
$$\frac{3}{8}$$

Explanation:
Given,
3 × $$\frac{1}{8}$$
$$\frac{3}{1}$$ × $$\frac{1}{8}$$
= $$\frac{3 \times 1}{1 \times 8}$$
= $$\frac{3}{8}$$

b. 5 × $$\frac{2}{3}$$ = ______________
3$$\frac{1}{3}$$

Explanation:
Given,
5 × $$\frac{2}{3}$$
$$\frac{5}{1}$$ × $$\frac{2}{3}$$
$$\frac{5 \times 2}{1 \times 3}$$ = $$\frac{10}{3}$$ or 3$$\frac{1}{3}$$

c. $$\frac{2}{9}$$ × 8 = ______________
1$$\frac{7}{9}$$

Explanation:
Given,
$$\frac{2}{9}$$ × 8
$$\frac{2}{9}$$ × $$\frac{8}{1}$$
$$\frac{2 \times 8}{9 \times 1}$$ = $$\frac{16}{9}$$ or 1$$\frac{7}{9}$$

Multiply. Write answers in simplest form.

Question 2.
a. $$\frac{8}{9}$$ × 4 = ______________
3$$\frac{5}{9}$$

Explanation:
Given,
$$\frac{8}{9}$$ × 4
$$\frac{8}{9}$$ × $$\frac{4}{1}$$
$$\frac{8 \times 4}{9 \times 1}$$ = $$\frac{32}{9}$$ or 3$$\frac{5}{9}$$

b. $$\frac{1}{8}$$ × 8 = ______________
1

Explanation:
Given,
$$\frac{1}{8}$$ × 8
$$\frac{1}{8}$$ × $$\frac{8}{1}$$
$$\frac{1 \times 8}{8 \times 1}$$ = $$\frac{8}{8}$$ = 1

c. $$\frac{4}{5}$$ × 6 = _______________
4$$\frac{4}{5}$$

Explanation:
Given,
$$\frac{4}{5}$$ × 6
$$\frac{4}{5}$$ × $$\frac{6}{1}$$
$$\frac{4 \times 6}{5\times 1}$$ = $$\frac{24}{5}$$ or 4$$\frac{4}{5}$$

d. 9 × $$\frac{1}{3}$$ = ______________
3

Explanation:
Given,
9 × $$\frac{1}{3}$$
$$\frac{9}{1}$$ × $$\frac{1}{3}$$
$$\frac{9 \times 1}{1 \times 3}$$ = $$\frac{9}{3}$$ = 3

Question 3.
a. 5 × $$\frac{3}{10}$$ = _______________
1$$\frac{1}{2}$$

Explanation:
Given,
5 × $$\frac{3}{10}$$
$$\frac{5}{1}$$ × $$\frac{3}{10}$$
$$\frac{5 \times 3}{1 \times 10}$$ = $$\frac{15}{10}$$
= $$\frac{3}{2}$$ or 1 $$\frac{1}{2}$$

b. $$\frac{2}{3}$$ × 3 = ________________
2

Explanation:
Given,
$$\frac{2}{3}$$ x 3
$$\frac{2}{3}$$ × $$\frac{3}{1}$$
$$\frac{2 \times 3}{3 \times 1}$$ = $$\frac{6}{3}$$ = 2

c. 9 × $$\frac{7}{8}$$ = _________________
7$$\frac{7}{8}$$

Explanation:
Given,
9 × $$\frac{7}{8}$$
$$\frac{9}{1}$$ × $$\frac{7}{8}$$
$$\frac{9 \times 7}{1 \times 8}$$ = $$\frac{63}{8}$$ or 7$$\frac{7}{8}$$

d. $$\frac{6}{11}$$ × 7 = _________________
3$$\frac{9}{11}$$
$$\frac{6}{11}$$ x 7
$$\frac{6}{11}$$ × $$\frac{7}{1}$$
$$\frac{6 \times 7}{11 \times 1}$$
= $$\frac{42}{11}$$ or 3$$\frac{9}{11}$$