Practice the questions of **McGraw Hill Math Grade 8 Answer Key**** PDF** **Lesson 5.3 Dividing Fractions by Fractions** to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 8 Answer Key Lesson 5.3 Dividing Fractions by Fractions

**Exercises Divide**

Question 1.

\(\frac{6}{7}\) ÷ \(\frac{3}{8}\)

Answer:

\(\frac{16}{7}\),

Explanation:

\(\frac{6}{7}\) ÷ \(\frac{3}{8}\)

= \(\frac{6}{7}\) ÷ \(\frac{3}{8}\)

= \(\frac{6}{7}\) x \(\frac{8}{3}\)

= \(\frac{6 X 8}{7 X 3}\)

= \(\frac{16}{7}\)

Question 2.

\(\frac{4}{14}\) ÷ \(\frac{2}{16}\)

Answer:

\(\frac{16}{7}\),

Explanation:

\(\frac{4}{14}\) ÷ \(\frac{2}{16}\)

= \(\frac{4}{14}\) ÷ \(\frac{2}{16}\)

= \(\frac{4}{14}\) x \(\frac{16}{2}\)

= \(\frac{4 X 16}{14 X 2}\)

= \(\frac{16}{7}\).

Question 3.

\(\frac{2}{9}\) ÷ \(\frac{3}{7}\)

Answer:

\(\frac{14}{27}\),

Explanation:

= \(\frac{2}{9}\) ÷ \(\frac{3}{7}\)

= \(\frac{2}{9}\) x \(\frac{7}{3}\)

= \(\frac{2 X 7}{9 X 3}\)

= \(\frac{14}{27}\)

Question 4.

\(\frac{1}{4}\) ÷ \(\frac{1}{8}\)

Answer:

2,

Explanation:

\(\frac{1}{4}\) ÷ \(\frac{1}{8}\)

= \(\frac{1}{4}\) ÷ \(\frac{1}{8}\)

= \(\frac{1}{4}\) x \(\frac{8}{1}\)

= \(\frac{1 X 8}{4 X 1}\)

= 2.

Question 5.

\(\frac{5}{13}\) ÷ \(\frac{5}{9}\)

Answer:

\(\frac{9}{13}\),

Explanation:

= \(\frac{5}{13}\) ÷ \(\frac{5}{9}\)

= \(\frac{5}{13}\) x \(\frac{9}{5}\)

= \(\frac{5 X 9}{13 X 5}\)

= \(\frac{9}{13}\)

Question 6.

\(\frac{7}{9}\) ÷ \(\frac{1}{7}\)

Answer:

\(\frac{49}{9}\),

Explanation:

= \(\frac{7}{9}\) ÷ \(\frac{1}{7}\)

= \(\frac{7}{9}\) x \(\frac{7}{1}\)

= \(\frac{7 X 7}{1 X 9}\)

= \(\frac{49}{9}\)

Question 7.

\(\frac{1}{13}\) ÷ \(\frac{1}{3}\)

Answer:

\(\frac{3}{13}\),

Explanation:

= \(\frac{1}{13}\) ÷ \(\frac{1}{3}\)

= \(\frac{1}{13}\) x \(\frac{3}{1}\)

= \(\frac{3}{13}\)

Question 8.

\(\frac{5}{17}\) ÷ \(\frac{2}{17}\)

Answer:

\(\frac{5}{2}\),

Explanation:

\(\frac{5}{17}\) ÷ \(\frac{2}{17}\)

= \(\frac{5}{17}\) x \(\frac{17}{2}\)

= \(\frac{5 X 17}{17 X 2}\)

= \(\frac{5}{2}\)

Question 9.

\(\frac{4}{5}\) ÷ \(\frac{1}{4}\)

Answer:

\(\frac{16}{5}\),

Explanation:

\(\frac{4}{5}\) ÷ \(\frac{1}{4}\)

\(\frac{4}{5}\) x \(\frac{4}{1}\)

\(\frac{4 X 4}{5 X 1}\)

\(\frac{16}{5}\)

Question 10.

\(\frac{15}{24}\) ÷ \(\frac{5}{3}\)

Answer:

\(\frac{3}{8}\),

Explanation:

= \(\frac{15}{24}\) ÷ \(\frac{5}{3}\)

= \(\frac{15}{24}\) x \(\frac{3}{5}\)

= \(\frac{15 X 3}{5 X 24}\)

= \(\frac{3}{8}\)

Question 11.

\(\frac{6}{11}\) ÷ \(\frac{11}{7}\)

Answer:

\(\frac{42}{121}\),

Explanation:

= \(\frac{6}{11}\) ÷ \(\frac{11}{7}\)

= \(\frac{6}{11}\) x \(\frac{7}{11}\)

= \(\frac{6 X 7}{11 X 11}\)

= \(\frac{42}{121}\)

Question 12.

\(\frac{13}{17}\) ÷ \(\frac{26}{17}\)

Answer:

\(\frac{1}{2}\),

Explanation:

= \(\frac{13}{17}\) ÷ \(\frac{26}{17}\)

= \(\frac{13}{17}\) x \(\frac{17}{26}\)

= \(\frac{13 X 17}{17 X 26}\)

= \(\frac{1}{2}\)

Question 13.

\(\frac{3}{11}\) ÷ \(\frac{22}{33}\)

Answer:

\(\frac{9}{22}\),

Explanation:

= \(\frac{3}{11}\) ÷ \(\frac{22}{33}\)

= \(\frac{3}{11}\) x \(\frac{33}{22}\)

= \(\frac{3 X 33} x {11 X 22}\)

= \(\frac{9}{22}\),

Question 14.

\(\frac{4}{7}\) ÷ \(\frac{4}{21}\)

Answer:

3,

Explanation:

\(\frac{4}{7}\) ÷ \(\frac{4}{21}\)

= \(\frac{4}{7}\) ÷ \(\frac{4}{21}\)

= \(\frac{4}{7}\) x \(\frac{21}{4}\)

= \(\frac{3}{1}\)

= 3

Question 15.

\(\frac{9}{14}\) ÷ \(\frac{3}{7}\)

Answer:

\(\frac{3}{2}\),

Explanation:

\(\frac{9}{14}\) ÷ \(\frac{3}{7}\)

\(\frac{9}{14}\) x \(\frac{7}{3}\)

\(\frac{9 X 7}{14 X 3}\)

\(\frac{3}{2}\)

Question 16.

\(\frac{3}{5}\) ÷ \(\frac{5}{3}\)

Answer:

\(\frac{9}{25}\),

Explanation:

= \(\frac{3}{5}\) ÷ \(\frac{5}{3}\)

= \(\frac{3}{5}\) x \(\frac{3}{5}\)

= \(\frac{3 X 3}{5 X 5}\)

= \(\frac{9}{25}\)

Question 17.

A recipe calls for the use of \(\frac{1}{16}\) ounce of batter for each muffin. How many muffins can be made from \(\frac{7}{8}\) ounces of batter?

Answer:

14 muffins,

Explanation:

A recipe calls for the use of \(\frac{1}{16}\) ounce of batter for each muffin.

Number of muffins can be made from \(\frac{7}{8}\) ounces of batter,

= \(\frac{7}{8}\) ÷ \(\frac{1}{16}\)

= \(\frac{7}{8}\) x \(\frac{16}{1}\)

= \(\frac{7 X 16}{8}\)

= 14

Question 18.

How many miles can a go-cart travel on a full tank of gas if the gas tank holds \(\frac{15}{16}\) gallons and burns \(\frac{1}{8}\) gallons for each mile traveled?

Answer:

7\(\frac{1}{2}\),

Explanation:

A go-cart travel gas if the gas tank holds \(\frac{15}{16}\) gallons,

burns \(\frac{1}{8}\) gallons for each mile traveled,

Total number of miles it can travel,

\(\frac{15}{16}\) ÷ \(\frac{1}{8}\)

= \(\frac{15}{16}\) x \(\frac{8}{1}\)

= \(\frac{15 X 8}{16}\)

= \(\frac{15}{2}\)

= 7\(\frac{1}{2}\)