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 × \(\frac{1}{2}\)
Spectrum Math Grade 5 Chapter 6 Lesson 1 Answer Key Multiplying Fractions Using Models 1

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 × \(\frac{1}{8}\) = ______________
Answer:
\(\frac{3}{8}\)

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

b. 5 × \(\frac{2}{3}\) = ______________
Answer:
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 = ______________
Answer:
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 = ______________
Answer:
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 = ______________
Answer:
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 = _______________
Answer:
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 × \(\frac{1}{3}\) = ______________
Answer:
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 × \(\frac{3}{10}\) = _______________
Answer:
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 = ________________
Answer:
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 × \(\frac{7}{8}\) = _________________
Answer:
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 = _________________
Answer:
3\(\frac{9}{11}\)

Explanation:
Given,
\(\frac{6}{11}\) x 7
\(\frac{6}{11}\) × \(\frac{7}{1}\)
\(\frac{6 \times 7}{11 \times 1}\)
= \(\frac{42}{11}\) or 3\(\frac{9}{11}\)

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