Spectrum Math Grade 6 Chapter 2 Lesson 3 Answer Key Dividing Fractions

Go through the Spectrum Math Grade 6 Answer Key Chapter 2 Lesson 2.3 Dividing Fractions and get the proper assistance needed during your homework.

Spectrum Math Grade 6 Chapter 2 Lesson 2.3 Dividing Fractions Answers Key

To divide, multiply by the reciprocal of the divisor.
\(\frac{4}{5}\) ÷ \(\frac{8}{9}\) = \(\frac{4}{5}\) × \(\frac{9}{8}\) = \(\frac{36}{40}\) = \(\frac{9}{10}\)

Divide. Write answers in simplest form.

Question 1.
a. \(\frac{1}{2}\) ÷ \(\frac{3}{5}\)
Answer:
Simplest form of \(\frac{1}{2}\) ÷ \(\frac{3}{5}\) is \(\frac{5}{6}\).

Explanation:
\(\frac{1}{2}\) ÷ \(\frac{3}{5}\)
= \(\frac{1}{2}\) × \(\frac{5}{3}\)
= \(\frac{5}{6}\)

b. \(\frac{3}{8}\) ÷ \(\frac{2}{3}\)
Answer:
Simplest form of \(\frac{3}{8}\) ÷ \(\frac{2}{3}\) is \(\frac{9}{16}\).

Explanation:
\(\frac{3}{8}\) ÷ \(\frac{2}{3}\)
= \(\frac{3}{8}\) × \(\frac{3}{2}\)
= \(\frac{9}{16}\)

c. \(\frac{5}{8}\) ÷ \(\frac{3}{4}\)
Answer:
Simplest form of \(\frac{5}{8}\) ÷ \(\frac{3}{4}\) is \(\frac{5}{6}\).

Explanation:
\(\frac{5}{8}\) ÷ \(\frac{3}{4}\)
= \(\frac{5}{8}\) ×  \(\frac{4}{3}\)
= \(\frac{5}{2}\) × \(\frac{1}{3}\)
= \(\frac{5}{6}\)

d. \(\frac{2}{5}\) ÷ \(\frac{3}{8}\)
Answer:
Simplest form of \(\frac{2}{5}\) ÷ \(\frac{3}{8}\) is \(\frac{16}{15}\) or 1\(\frac{1}{15}\).

Explanation:
\(\frac{2}{5}\) ÷ \(\frac{3}{8}\)
= \(\frac{2}{5}\) × \(\frac{8}{3}\)
= \(\frac{16}{15}\) or 1\(\frac{1}{15}\)

Question 2.
a. \(\frac{1}{2}\) ÷ \(\frac{7}{8}\)
Answer:
Simplest form of \(\frac{1}{2}\) ÷ \(\frac{7}{8}\) is \(\frac{4}{7}\)

Explanation:
\(\frac{1}{2}\) ÷ \(\frac{7}{8}\)
= \(\frac{1}{2}\) ×  \(\frac{8}{7}\)
= \(\frac{1}{1}\) ×  \(\frac{4}{7}\)
= \(\frac{4}{7}\)

b. \(\frac{4}{5}\) ÷ \(\frac{3}{4}\)
Answer:
Simplest form of \(\frac{4}{5}\) ÷ \(\frac{3}{4}\) is \(\frac{16}{15}\) or 1\(\frac{1}{15}\).

Explanation:
\(\frac{4}{5}\) ÷ \(\frac{3}{4}\)
= \(\frac{4}{5}\) × \(\frac{4}{3}\)
= \(\frac{16}{15}\) or 1\(\frac{1}{15}\)

c. \(\frac{5}{6}\) ÷ \(\frac{3}{8}\)
Answer:
Simplest form of \(\frac{5}{6}\) ÷ \(\frac{3}{8}\) is \(\frac{20}{9}\) or 2\(\frac{2}{9}\).

Explanation:
\(\frac{5}{6}\) ÷ \(\frac{3}{8}\)
= \(\frac{5}{6}\) × \(\frac{8}{3}\)
= \(\frac{5}{3}\) × \(\frac{4}{3}\)
= \(\frac{20}{9}\) or 2\(\frac{2}{9}\)

d. \(\frac{2}{3}\) ÷ \(\frac{4}{5}\)
Answer:
Simplest form of \(\frac{2}{3}\) ÷ \(\frac{4}{5}\) is \(\frac{5}{6}\).

Explanation:
\(\frac{2}{3}\) ÷ \(\frac{4}{5}\)
= \(\frac{2}{3}\) × \(\frac{5}{4}\)
= \(\frac{1}{3}\) × \(\frac{5}{2}\)
= \(\frac{5}{6}\)

Question 3.
a. \(\frac{7}{8}\) ÷ \(\frac{1}{3}\)
Answer:
Simplest form of \(\frac{7}{8}\) ÷ \(\frac{1}{3}\) is \(\frac{21}{8}\) or 2\(\frac{7}{8}\).

Explanation:
\(\frac{7}{8}\) ÷ \(\frac{1}{3}\)
= \(\frac{7}{8}\) × \(\frac{3}{1}\)
= \(\frac{21}{8}\) or 2\(\frac{7}{8}\)

b. \(\frac{7}{9}\) ÷ \(\frac{2}{3}\)
Answer:
Simplest form of \(\frac{7}{9}\) ÷ \(\frac{2}{3}\) is \(\frac{7}{6}\) or 1\(\frac{1}{6}\).

Explanation:
\(\frac{7}{9}\) ÷ \(\frac{2}{3}\)
= \(\frac{7}{9}\) × \(\frac{3}{2}\)
= \(\frac{7}{3}\) × \(\frac{1}{2}\)
= \(\frac{7}{6}\) or 1\(\frac{1}{6}\)

c. \(\frac{1}{3}\) ÷ \(\frac{2}{3}\)
Answer:
Simplest form of \(\frac{1}{3}\) ÷ \(\frac{2}{3}\) is \(\frac{1}{2}\).

Explanation:
\(\frac{1}{3}\) ÷ \(\frac{2}{3}\)
= \(\frac{1}{3}\) × \(\frac{3}{2}\)
= \(\frac{1}{1}\) × \(\frac{1}{2}\)
= \(\frac{1}{2}\)

d. \(\frac{5}{6}\) ÷ \(\frac{1}{3}\)
Answer:
Simplest form of \(\frac{5}{6}\) ÷ \(\frac{1}{3}\) is \(\frac{5}{2}\) or 2\(\frac{1}{2}\).

Explanation:
\(\frac{5}{6}\) ÷ \(\frac{1}{3}\)
= \(\frac{5}{6}\) × \(\frac{3}{1}\)
= \(\frac{5}{2}\) × \(\frac{1}{1}\)
= \(\frac{5}{2}\) or 2\(\frac{1}{2}\)

Question 4.
a. \(\frac{3}{5}\) ÷ \(\frac{2}{3}\)
Answer:
Simplest form of \(\frac{3}{5}\) ÷ \(\frac{2}{3}\) is \(\frac{9}{10}\).

Explanation:
\(\frac{3}{5}\) ÷ \(\frac{2}{3}\)
= \(\frac{3}{5}\) × \(\frac{3}{2}\)
= \(\frac{9}{10}\)

b. \(\frac{4}{9}\) ÷ \(\frac{3}{7}\)
Answer:
Simplest form of \(\frac{4}{9}\) ÷ \(\frac{3}{7}\) is \(\frac{28}{27}\) or 1\(\frac{1}{27}\).

Explanation:
\(\frac{4}{9}\) ÷ \(\frac{3}{7}\)
= \(\frac{4}{9}\) × \(\frac{7}{3}\)
= \(\frac{28}{27}\) or 1\(\frac{1}{27}\)

c. \(\frac{1}{2}\) ÷ \(\frac{5}{8}\)
Answer:
Simplest form of \(\frac{1}{2}\) ÷ \(\frac{5}{8}\) is \(\frac{4}{5}\).

Explanation:
\(\frac{1}{2}\) ÷ \(\frac{5}{8}\)
= \(\frac{1}{2}\) × \(\frac{8}{5}\)
= \(\frac{1}{1}\) × \(\frac{4}{5}\)
= \(\frac{4}{5}\)

d. \(\frac{2}{3}\) ÷ \(\frac{7}{9}\)
Answer:
Simplest form of \(\frac{2}{3}\) ÷ \(\frac{7}{9}\) is \(\frac{6}{7}\).

Explanation:
\(\frac{2}{3}\) ÷ \(\frac{7}{9}\)
= \(\frac{2}{3}\) × \(\frac{9}{7}\)
= \(\frac{2}{1}\) × \(\frac{3}{7}\)
= \(\frac{6}{7}\)

Divide. Write answers in simplest form.

Simple Division Worksheets

Question 1.
a. \(\frac{3}{5}\) ÷ \(\frac{2}{7}\) =
Answer:
Simplest form of \(\frac{3}{5}\) ÷ \(\frac{2}{7}\) is \(\frac{21}{10}\) or 2\(\frac{1}{10}\).

Explanation:
\(\frac{3}{5}\) ÷ \(\frac{2}{7}\)
= \(\frac{3}{5}\) × \(\frac{7}{2}\)
= \(\frac{21}{10}\) or 2\(\frac{1}{10}\)

b. \(\frac{3}{4}\) ÷ \(\frac{1}{2}\) =
Answer:
Simplest form of \(\frac{3}{4}\) ÷ \(\frac{1}{2}\) is \(\frac{3}{2}\) or 1\(\frac{1}{2}\).

Explanation:
\(\frac{3}{4}\) ÷ \(\frac{1}{2}\)
= \(\frac{3}{4}\) × \(\frac{2}{1}\)
= \(\frac{3}{2}\) × \(\frac{1}{1}\)
= \(\frac{3}{2}\) or 1\(\frac{1}{2}\)

c. \(\frac{5}{8}\) ÷ \(\frac{3}{5}\) =
Answer:
Simplest form of \(\frac{5}{8}\) ÷ \(\frac{3}{5}\) is \(\frac{25}{24}\) or 1\(\frac{1}{24}\).

Explanation:
\(\frac{5}{8}\) ÷ \(\frac{3}{5}\)
= \(\frac{5}{8}\) × \(\frac{5}{3}\)
= \(\frac{25}{24}\) or 1\(\frac{1}{24}\)

d. \(\frac{5}{6}\) ÷ \(\frac{1}{10}\) =
Answer:
Simplest form of \(\frac{5}{6}\) ÷ \(\frac{1}{10}\) is \(\frac{25}{3}\) or 8\(\frac{1}{3}\).

Explanation:
\(\frac{5}{6}\) ÷ \(\frac{1}{10}\)
= \(\frac{5}{6}\) × \(\frac{10}{1}\)
= \(\frac{5}{3}\) × \(\frac{5}{1}\)
= \(\frac{25}{3}\) or 8\(\frac{1}{3}\)

Question 2.
a. \(\frac{1}{5}\) ÷ \(\frac{1}{4}\) =
Answer:
Simplest form of \(\frac{1}{5}\) ÷ \(\frac{1}{4}\) is \(\frac{4}{5}\).

Explanation:
\(\frac{1}{5}\) ÷ \(\frac{1}{4}\)
= \(\frac{1}{5}\) × \(\frac{4}{1}\)
= \(\frac{4}{5}\)

b. \(\frac{1}{2}\) ÷ \(\frac{2}{3}\) =
Answer:
Simplest form of \(\frac{1}{2}\) ÷ \(\frac{2}{3}\) is \(\frac{3}{4}\).

Explanation:
\(\frac{1}{2}\) ÷ \(\frac{2}{3}\)
= \(\frac{1}{2}\) × \(\frac{3}{2}\)
= \(\frac{3}{4}\)

c. \(\frac{6}{7}\) ÷ \(\frac{1}{8}\) =
Answer:
Simplest form of \(\frac{6}{7}\) ÷ \(\frac{1}{8}\) is \(\frac{48}{7}\) or 6\(\frac{6}{7}\).

Explanation:
\(\frac{6}{7}\) ÷ \(\frac{1}{8}\)
= \(\frac{6}{7}\) × \(\frac{8}{1}\)
= \(\frac{48}{7}\) or 6\(\frac{6}{7}\)

d. \(\frac{1}{4}\) ÷ \(\frac{1}{2}\) =
Answer:
Simplest form of \(\frac{1}{4}\) ÷ \(\frac{1}{2}\) is \(\frac{1}{2}\).

Explanation:
\(\frac{1}{4}\) ÷ \(\frac{1}{2}\)
= \(\frac{1}{4}\) × \(\frac{2}{1}\)
= \(\frac{1}{2}\) × \(\frac{1}{1}\)
= \(\frac{1}{2}\)

Question 3.
a. \(\frac{7}{10}\) ÷ \(\frac{1}{4}\) =
Answer:
Simplest form of \(\frac{7}{10}\) ÷ \(\frac{1}{4}\) is \(\frac{14}{5}\) or 2\(\frac{4}{5}\).

Explanation:
\(\frac{7}{10}\) ÷ \(\frac{1}{4}\)
= \(\frac{7}{10}\) × \(\frac{4}{1}\)
= \(\frac{7}{5}\) × \(\frac{2}{1}\)
= \(\frac{14}{5}\) or 2\(\frac{4}{5}\)

b. \(\frac{1}{2}\) ÷ \(\frac{6}{11}\) =
Answer:
Simplest form of \(\frac{1}{2}\) ÷ \(\frac{6}{11}\) is \(\frac{11}{12}\).

Explanation:
\(\frac{1}{2}\) ÷ \(\frac{6}{11}\)
= \(\frac{1}{2}\) × \(\frac{11}{6}\)
= \(\frac{1}{2}\) × \(\frac{11}{6}\)
= \(\frac{11}{12}\)

c. \(\frac{3}{5}\) ÷ \(\frac{1}{3}\) =
Answer:
Simplest form of \(\frac{3}{5}\) ÷ \(\frac{1}{3}\) is \(\frac{9}{5}\) or 1\(\frac{4}{5}\).

Explanation:
\(\frac{3}{5}\) ÷ \(\frac{1}{3}\)
= \(\frac{3}{5}\) × \(\frac{3}{1}\)
= \(\frac{9}{5}\) or 1\(\frac{4}{5}\)

d. \(\frac{1}{4}\) ÷ \(\frac{3}{8}\) =
Answer:
Simplest form of \(\frac{1}{4}\) ÷ \(\frac{3}{8}\) is \(\frac{2}{3}\).

Explanation:
\(\frac{1}{4}\) ÷ \(\frac{3}{8}\)
= \(\frac{1}{4}\) × \(\frac{8}{3}\)
= \(\frac{1}{1}\) × \(\frac{2}{3}\)
= \(\frac{2}{3}\)

Question 4.
a. \(\frac{10}{12}\) ÷ \(\frac{2}{7}\) =
Answer:
Simplest form of \(\frac{10}{12}\) ÷ \(\frac{2}{7}\) is \(\frac{35}{12}\) or 2\(\frac{11}{12}\).

Explanation:
\(\frac{10}{12}\) ÷ \(\frac{2}{7}\)
= \(\frac{10}{12}\) × \(\frac{7}{2}\)
= \(\frac{5}{12}\) × \(\frac{7}{1}\)
= \(\frac{35}{12}\) or 2\(\frac{11}{12}\)

b. \(\frac{1}{15}\) ÷ \(\frac{4}{5}\) =
Answer:
Simplest form of \(\frac{1}{15}\) ÷ \(\frac{4}{5}\) is \(\frac{1}{12}\).

Explanation:
\(\frac{1}{15}\) ÷ \(\frac{4}{5}\)
= \(\frac{1}{15}\) × \(\frac{5}{4}\)
= \(\frac{1}{3}\) × \(\frac{1}{4}\)
= \(\frac{1}{12}\)

c. \(\frac{12}{15}\) ÷ \(\frac{1}{4}\) =
Answer:
Simplest form of \(\frac{12}{15}\) ÷ \(\frac{1}{4}\) is \(\frac{48}{15}\) or 3\(\frac{3}{15}\).

Explanation:
\(\frac{12}{15}\) ÷ \(\frac{1}{4}\)
= \(\frac{12}{15}\) × \(\frac{4}{1}\)
= \(\frac{48}{15}\) or 3\(\frac{3}{15}\)

d. \(\frac{4}{5}\) ÷ \(\frac{9}{10}\) =
Answer:
Simplest form of \(\frac{4}{5}\) ÷ \(\frac{9}{10}\) is \(\frac{8}{9}\).

Explanation:
\(\frac{4}{5}\) ÷ \(\frac{9}{10}\)
= \(\frac{4}{5}\) × \(\frac{10}{9}\)
= \(\frac{4}{1}\) × \(\frac{2}{9}\)
= \(\frac{8}{9}\)

Question 5.
a. \(\frac{9}{10}\) ÷ \(\frac{2}{6}\) =
Answer:
Simplest form of \(\frac{9}{10}\) ÷ \(\frac{2}{6}\) is \(\frac{27}{10}\) or 2\(\frac{7}{10}\).

Explanation:
\(\frac{9}{10}\) ÷ \(\frac{2}{6}\)
= \(\frac{9}{10}\) × \(\frac{6}{2}\)
= \(\frac{9}{5}\) × \(\frac{3}{2}\)
= \(\frac{27}{10}\) or 2\(\frac{7}{10}\)

b. \(\frac{7}{15}\) ÷ \(\frac{8}{10}\) =
Answer:
Simplest form of \(\frac{7}{15}\) ÷ \(\frac{8}{10}\) is \(\frac{7}{12}\).

Explanation:
\(\frac{7}{15}\) ÷ \(\frac{8}{10}\)
= \(\frac{7}{15}\) × \(\frac{10}{8}\)
= \(\frac{7}{3}\) × \(\frac{2}{8}\)
= \(\frac{14}{24}\)
= \(\frac{7}{12}\)

c. \(\frac{2}{12}\) ÷ \(\frac{3}{4}\) =
Answer:
Simplest form of \(\frac{2}{12}\) ÷ \(\frac{3}{4}\) is

Explanation:
\(\frac{2}{12}\) ÷ \(\frac{3}{4}\)
= \(\frac{2}{12}\) × \(\frac{4}{3}\)
= \(\frac{2}{3}\) × \(\frac{1}{3}\)
= \(\frac{2}{9}\)

d.
\(\frac{7}{15}\) ÷ \(\frac{7}{9}\) =
Answer:
Simplest form of \(\frac{7}{15}\) ÷ \(\frac{7}{9}\) is \(\frac{3}{5}\).

Explanation:
\(\frac{7}{15}\) ÷ \(\frac{7}{9}\)
= \(\frac{7}{15}\) × \(\frac{9}{7}\)
= \(\frac{1}{15}\) × \(\frac{9}{1}\)
= \(\frac{1}{5}\) × \(\frac{3}{1}\)
= \(\frac{3}{5}\)

Divide. Write answers in simplest form.

Question 1.
a.
\(\frac{4}{9}\) ÷ \(\frac{1}{3}\) =
Answer:
Simplest form of \(\frac{4}{9}\) ÷ \(\frac{1}{3}\) is \(\frac{4}{3}\) or 1\(\frac{1}{3}\).

Explanation:
\(\frac{4}{9}\) ÷ \(\frac{1}{3}\)
= \(\frac{4}{9}\) × \(\frac{3}{1}\)
= \(\frac{4}{3}\) × \(\frac{1}{1}\)
= \(\frac{4}{3}\) or 1\(\frac{1}{3}\)

b.
12 ÷ \(\frac{1}{5}\) =
Answer:
Simplest form of 12 ÷ \(\frac{1}{5}\) is 60.

Explanation:
12 ÷ \(\frac{1}{5}\)
= 12 × \(\frac{5}{1}\)
= 60.

c.
2 ÷ \(\frac{2}{3}\) =
Answer:
Simplest form of 2 ÷ \(\frac{2}{3}\) is 3.

Explanation:
2 ÷ \(\frac{2}{3}\)
= 2 × \(\frac{3}{2}\)
= 1 × \(\frac{3}{1}\)
= \(\frac{3}{1}\)
= 3.

d.
\(\frac{1}{5}\) ÷ \(\frac{1}{3}\) =
Answer:
Simplest form of \(\frac{1}{5}\) ÷ \(\frac{1}{3}\) is \(\frac{3}{5}\).

Explanation:
\(\frac{1}{5}\) ÷ \(\frac{1}{3}\)
= \(\frac{1}{5}\) × \(\frac{3}{1}\)
= \(\frac{3}{5}\)

Question 2.
a.
\(\frac{1}{7}\) ÷ \(\frac{3}{5}\) =
Answer:
Simplest form of \(\frac{1}{7}\) ÷ \(\frac{3}{5}\) is \(\frac{5}{21}\).

Explanation:
\(\frac{1}{7}\) ÷ \(\frac{3}{5}\)
= \(\frac{1}{7}\) × \(\frac{5}{3}\)
= \(\frac{5}{21}\)

b.
\(\frac{2}{3}\) ÷ \(\frac{3}{4}\) =
Answer:
Simplest form of \(\frac{2}{3}\) ÷ \(\frac{3}{4}\) is \(\frac{8}{9}\).

Explanation:
\(\frac{2}{3}\) ÷ \(\frac{3}{4}\)
= \(\frac{2}{3}\) × \(\frac{4}{3}\)
= \(\frac{8}{9}\)

c.
5 ÷ \(\frac{2}{3}\) =
Answer:
Simplest form of 5 ÷ \(\frac{2}{3}\) is \(\frac{15}{2}\) or 7\(\frac{1}{2}\).

Explanation:
5 ÷ \(\frac{2}{3}\)
= 5 × \(\frac{3}{2}\)
= \(\frac{15}{2}\) or 7\(\frac{1}{2}\)

d.
\(\frac{2}{3}\) ÷ \(\frac{1}{9}\) =
Answer:
Simplest form of \(\frac{2}{3}\) ÷ \(\frac{1}{9}\) is 6.

Explanation:
\(\frac{2}{3}\) ÷ \(\frac{1}{9}\)
= \(\frac{2}{3}\) × \(\frac{9}{1}\)
= \(\frac{2}{1}\) × \(\frac{3}{1}\)
= \(\frac{6}{1}\)
= 6.

Question 3.
a.
\(\frac{7}{8}\) ÷ 4 =
Answer:
Simplest form of \(\frac{7}{8}\) ÷ 4 is \(\frac{7}{32}\).

Explanation:
\(\frac{7}{8}\) ÷ 4
= \(\frac{7}{8}\) × \(\frac{1}{4}\)
= \(\frac{7}{32}\)

b.
\(\frac{2}{15}\) ÷ \(\frac{15}{17}\) =
Answer:
Simplest form of \(\frac{2}{15}\) ÷ \(\frac{15}{17}\) is \(\frac{34}{225}\).

Explanation:
\(\frac{2}{15}\) ÷ \(\frac{15}{17}\)
= \(\frac{2}{15}\) × \(\frac{17}{15}\)
= \(\frac{34}{225}\)

c.
\(\frac{3}{8}\) ÷ \(\frac{2}{3}\) =
Answer:
Simplest form of \(\frac{3}{8}\) ÷ \(\frac{2}{3}\) is \(\frac{9}{16}\).

Explanation:
\(\frac{3}{8}\) ÷ \(\frac{2}{3}\)
= \(\frac{3}{8}\) × \(\frac{3}{2}\)
= \(\frac{9}{16}\)

d.
\(\frac{3}{11}\) ÷ \(\frac{17}{23}\) =
Answer:
Simplest form of \(\frac{3}{11}\) ÷ \(\frac{17}{23}\) is \(\frac{69}{187}\).

Explanation:
\(\frac{3}{11}\) ÷ \(\frac{17}{23}\)
= \(\frac{3}{11}\) × \(\frac{23}{17}\)
= \(\frac{69}{187}\)

Question 4.
a.
\(\frac{4}{11}\) ÷ \(\frac{2}{3}\) =
Answer:
Simplest form of \(\frac{4}{11}\) ÷ \(\frac{2}{3}\) is \(\frac{6}{11}\).

Explanation:
\(\frac{4}{11}\) ÷ \(\frac{2}{3}\)
= \(\frac{4}{11}\) × \(\frac{3}{2}\)
= \(\frac{2}{11}\) × \(\frac{3}{1}\)
= \(\frac{6}{11}\)

b.
\(\frac{1}{11}\) ÷ \(\frac{5}{7}\) =
Answer:
Simplest form of \(\frac{1}{11}\) ÷ \(\frac{5}{7}\) is \(\frac{7}{55}\).

Explanation:
\(\frac{1}{11}\) ÷ \(\frac{5}{7}\)
= \(\frac{1}{11}\) × \(\frac{7}{5}\)
= \(\frac{7}{55}\)

c.
\(\frac{9}{20}\) ÷ \(\frac{9}{17}\) =
Answer:
Simplest form of \(\frac{9}{20}\) ÷ \(\frac{9}{17}\) is \(\frac{17}{20}\).

Explanation:
\(\frac{9}{20}\) ÷ \(\frac{9}{17}\)
= \(\frac{9}{20}\) × \(\frac{17}{9}\)
= \(\frac{1}{20}\) × \(\frac{17}{1}\)
= \(\frac{17}{20}\)

d.
\(\frac{3}{7}\) ÷ \(\frac{9}{20}\) =
Answer:
Simplest form of \(\frac{3}{7}\) ÷ \(\frac{9}{20}\) is \(\frac{20}{21}\).

Explanation:
\(\frac{3}{7}\) ÷ \(\frac{9}{20}\)
= \(\frac{3}{7}\) × \(\frac{20}{9}\)
= \(\frac{1}{7}\) × \(\frac{20}{3}\)
= \(\frac{20}{21}\)

Question 5.
a.
\(\frac{2}{3}\) ÷ \(\frac{10}{11}\) =
Answer:
Simplest form of \(\frac{2}{3}\) ÷ \(\frac{10}{11}\) is \(\frac{11}{15}\).

Explanation:
\(\frac{2}{3}\) ÷ \(\frac{10}{11}\)
= \(\frac{2}{3}\) × \(\frac{11}{10}\)
= \(\frac{1}{3}\) × \(\frac{11}{5}\)
= \(\frac{11}{15}\)

b.
\(\frac{1}{13}\) ÷ \(\frac{3}{13}\) =
Answer:
Simplest form of \(\frac{1}{13}\) ÷ \(\frac{3}{13}\) is \(\frac{1}{3}\).

Explanation:
\(\frac{1}{13}\) ÷ \(\frac{3}{13}\)
= \(\frac{1}{13}\) × \(\frac{13}{3}\)
= \(\frac{1}{1}\) × \(\frac{1}{3}\)
= \(\frac{1}{3}\)

c.
\(\frac{6}{11}\) ÷ \(\frac{5}{7}\) =
Answer:
Simplest form of \(\frac{6}{11}\) ÷ \(\frac{5}{7}\) is \(\frac{42}{55}\).

Explanation:
\(\frac{6}{11}\) ÷ \(\frac{5}{7}\)
= \(\frac{6}{11}\) × \(\frac{7}{5}\)
= \(\frac{42}{55}\)

d.
\(\frac{1}{4}\) ÷ \(\frac{6}{17}\) =
Answer:
Simplest form of \(\frac{1}{4}\) ÷ \(\frac{6}{17}\) is \(\frac{17}{24}\).

Explanation:
\(\frac{1}{4}\) ÷ \(\frac{6}{17}\)
= \(\frac{1}{4}\) × \(\frac{17}{6}\)
= \(\frac{17}{24}\)

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