Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 6 Lesson 6.2 Multiplying Fractions Using Rules regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 6 Lesson 6.2 Multiplying Fractions Using Rules Answers Key
Multiply. Write answers in simplest form.
Question 1.
a. \(\frac{1}{3}\) × \(\frac{2}{9}\) = _________________
Answer:
\(\frac{2}{27}\)
Explanation:
Given,
\(\frac{1}{3}\) × \(\frac{2}{9}\)
Multiply the numerators and denominators.
\(\frac{1 \times 2}{3 \times 9}\) = \(\frac{2}{27}\)
b. \(\frac{1}{8}\) × \(\frac{2}{5}\) = _________________
Answer:
\(\frac{1}{20}\)
Explanation:
Given,
\(\frac{1}{8}\) × \(\frac{2}{5}\)
Multiply the numerators and denominators.
\(\frac{1 \times 2}{8 \times 5}\) = \(\frac{2}{40}\)
Reduce to the simplest form.
\(\frac{1}{20}\)
c. \(\frac{3}{7}\) × \(\frac{3}{4}\) = _________________
Answer:
\(\frac{9}{28}\)
Explanation:
Given,
\(\frac{3}{7}\) × \(\frac{3}{4}\)
Multiply the numerators and denominators.
\(\frac{3 \times 3}{7 \times 4}\) = \(\frac{9}{28}\)
Question 2.
a. \(\frac{5}{6}\) × \(\frac{3}{8}\) = _________________
Answer:
\(\frac{5}{16}\)
Explanation:
Given,
\(\frac{5}{6}\) × \(\frac{3}{8}\)
Multiply the numerators and denominators.
\(\frac{5 \times 3}{6 \times 8}\) = \(\frac{15}{48}\)
Reduce to the simplest form.
\(\frac{5}{16}\)
b. \(\frac{5}{9}\) × \(\frac{3}{7}\) = _________________
Answer:
\(\frac{5}{21}\)
Explanation:
Given,
\(\frac{5}{9}\) × \(\frac{3}{7}\)
Multiply the numerators and denominators.
\(\frac{5 \times 3}{9 \times 7}\) = \(\frac{15}{63}\)
Reduce to the simplest form.
\(\frac{5}{21}\)
c. \(\frac{6}{11}\) × \(\frac{1}{6}\) = _________________
Answer:
\(\frac{1}{11}\)
Explanation:
Given,
\(\frac{6}{11}\) × \(\frac{1}{6}\)
Multiply the numerators and denominators.
\(\frac{6 \times 1}{11 \times 6}\) = \(\frac{6}{66}\)
Reduce to the simplest form.
\(\frac{1}{11}\)
Question 3.
a. \(\frac{3}{5}\) × \(\frac{2}{3}\) = _________________
Answer:
\(\frac{2}{5}\)
Explanation:
Given,
\(\frac{3}{5}\) × \(\frac{2}{3}\)
Multiply the numerators and denominators.
\(\frac{3 \times 2}{5 \times 3}\) = \(\frac{6}{15}\)
Reduce to the simplest form.
\(\frac{2}{5}\)
b. \(\frac{3}{7}\) × \(\frac{1}{3}\) = _________________
Answer:
\(\frac{1}{7}\)
Explanation:
Given,
\(\frac{3}{7}\) × \(\frac{1}{3}\)
Multiply the numerators and denominators.
\(\frac{3 \times 1}{7 \times 3}\) = \(\frac{3}{21}\)
Reduce to the simplest form.
\(\frac{1}{7}\)
c. \(\frac{1}{6}\) × \(\frac{8}{9}\) = _________________
Answer:
\(\frac{4}{27}\)
Explanation:
Given,
\(\frac{1}{6}\) × \(\frac{8}{9}\)
Multiply the numerators and denominators.
\(\frac{1 \times 8}{6 \times 9}\) = \(\frac{8}{54}\)
Reduce to the simplest form.
\(\frac{4}{27}\)
Question 4.
a. \(\frac{7}{10}\) × \(\frac{4}{5}\) = _________________
Answer:
\(\frac{14}{25}\)
Explanation:
Given,
\(\frac{7}{10}\) × \(\frac{4}{5}\)
Multiply the numerators and denominators.
\(\frac{7 \times 4}{10 \times 5}\) = \(\frac{28}{50}\)
Reduce to the simplest form.
\(\frac{14}{25}\)
b. \(\frac{7}{8}\) × \(\frac{2}{7}\) = _________________
Answer:
\(\frac{1}{4}\)
Explanation:
Given,
\(\frac{7}{8}\) × \(\frac{2}{7}\)
Multiply the numerators and denominators.
\(\frac{7 \times 2}{8 \times 7}\) = \(\frac{14}{56}\)
Reduce to the simplest form.
\(\frac{1}{4}\)
c. \(\frac{1}{2}\) × \(\frac{5}{11}\) = _________________
Answer:
\(\frac{5}{22}\)
Explanation:
Given,
\(\frac{1}{2}\) × \(\frac{5}{11}\)
Multiply the numerators and denominators.
\(\frac{1 \times 5}{2 \times 11}\) = \(\frac{5}{22}\)
Question 5.
a. \(\frac{5}{7}\) × \(\frac{7}{9}\) = _________________
Answer:
\(\frac{5}{9}\)
Explanation:
Given,
\(\frac{5}{7}\) × \(\frac{7}{9}\)
Multiply the numerators and denominators.
\(\frac{5 \times 7}{7 \times 9}\) = \(\frac{35}{63}\)
Reduce to the simplest form.
\(\frac{5}{9}\)
b. \(\frac{3}{4}\) × \(\frac{9}{10}\) = _________________
Answer:
\(\frac{27}{40}\)
Explanation:
Given,
\(\frac{3}{4}\) × \(\frac{9}{10}\)
Multiply the numerators and denominators.
\(\frac{3 \times 9}{4 \times 10}\) = \(\frac{27}{40}\)
c. \(\frac{7}{12}\) × \(\frac{7}{11}\) = _________________
Answer:
\(\frac{49}{132}\)
Explanation:
Given,
\(\frac{7}{12}\) × \(\frac{7}{11}\)
Multiply the numerators and denominators.
\(\frac{7 \times 7}{12 \times 11}\) = \(\frac{49}{132}\)