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

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.
$$\frac{6}{7}$$ ÷ $$\frac{3}{8}$$
$$\frac{16}{7}$$,

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.
$$\frac{4}{14}$$ ÷ $$\frac{2}{16}$$
$$\frac{16}{7}$$,

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.
$$\frac{2}{9}$$ ÷ $$\frac{3}{7}$$
$$\frac{14}{27}$$,

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.
$$\frac{1}{4}$$ ÷ $$\frac{1}{8}$$
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.
$$\frac{5}{13}$$ ÷ $$\frac{5}{9}$$
$$\frac{9}{13}$$,

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.
$$\frac{7}{9}$$ ÷ $$\frac{1}{7}$$
$$\frac{49}{9}$$,

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.
$$\frac{1}{13}$$ ÷ $$\frac{1}{3}$$
$$\frac{3}{13}$$,

Explanation:
= $$\frac{1}{13}$$ ÷ $$\frac{1}{3}$$
= $$\frac{1}{13}$$ x $$\frac{3}{1}$$
= $$\frac{3}{13}$$
Question 8.
$$\frac{5}{17}$$ ÷ $$\frac{2}{17}$$
$$\frac{5}{2}$$,

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.
$$\frac{4}{5}$$ ÷ $$\frac{1}{4}$$
$$\frac{16}{5}$$,

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.
$$\frac{15}{24}$$ ÷ $$\frac{5}{3}$$
$$\frac{3}{8}$$,

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.
$$\frac{6}{11}$$ ÷ $$\frac{11}{7}$$
$$\frac{42}{121}$$,

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.
$$\frac{13}{17}$$ ÷ $$\frac{26}{17}$$
$$\frac{1}{2}$$,

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.
$$\frac{3}{11}$$ ÷ $$\frac{22}{33}$$
$$\frac{9}{22}$$,

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.
$$\frac{4}{7}$$ ÷ $$\frac{4}{21}$$
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.
$$\frac{9}{14}$$ ÷ $$\frac{3}{7}$$
$$\frac{3}{2}$$,

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.
$$\frac{3}{5}$$ ÷ $$\frac{5}{3}$$
$$\frac{9}{25}$$,

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?
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?
7$$\frac{1}{2}$$,
A go-cart travel gas if the gas tank holds $$\frac{15}{16}$$ gallons,
burns $$\frac{1}{8}$$ gallons for each mile traveled,
$$\frac{15}{16}$$ ÷ $$\frac{1}{8}$$
= $$\frac{15}{16}$$ x $$\frac{8}{1}$$
= $$\frac{15 X 8}{16}$$
= $$\frac{15}{2}$$
= 7$$\frac{1}{2}$$