Multiplication and Division of Fractions Exercises – Set 2

By Civil Service Reviewer
on Jan 06, 2019
in Mathematics, Numerical Reasoning, Practice Tests

Find the product of the following:

1.) $\dfrac{3}{4} \times \dfrac{5}{8}$

2.) $\dfrac{1}{8} \times \dfrac{3}{4} \times \dfrac{2}{3}$

3.) $2 \dfrac{3}{5} \times \dfrac{2}{3}$

4.) $7 \dfrac{5}{6} \times 1 \dfrac{3}{4}$

5.) $7 \times 2 \dfrac{3}{14}$

6.) $\dfrac{2}{3} \div \dfrac{3}{4}$

7.) $15 \div \dfrac{5}{6}$

8.) $\dfrac{3}{8} \div 4$

9.) $1 \dfrac{2}{3} \div \dfrac{4}{5}$

10.) $7 \dfrac{1}{4} \div \dfrac{1}{8}$

Solution:

1.) $\dfrac{15}{32}$

2.) $\dfrac{1}{16}$
$\dfrac{1}{8} \times \dfrac{3}{4} \times \dfrac{2}{3}$
$= \dfrac{6}{96} or \dfrac{1}{16}$

3.) $1 \dfrac{11}{15}$
$2 \dfrac{3}{5} \times \dfrac{2}{3}$
$= \dfrac{13}{5} \times \dfrac{2}{3}$
$= \dfrac{26}{15} or 1 \dfrac{11}{15}$

4.) $13 \dfrac{17}{24}$
$= 7 \dfrac{5}{6} \times 1 \dfrac{3}{4}$
$= \dfrac{47}{6} \times \dfrac{7}{4}$
$= \dfrac{329}{24} \times 13 \dfrac{17}{24}$

5.) $15 \dfrac{1}{12}$
$7 \times 2 \dfrac{3}{14}$
$= \dfrac{7}{1} \times \dfrac{31}{14}$
$= \dfrac{217}{14} or 15 \dfrac{7}{14} or 15 \dfrac{1}{2}$

6.) $\dfrac{8}{9}$
$\dfrac{2}{3} \div \dfrac{3}{4}$
$= \dfrac{3}{2} \times \dfrac{3}{4} = \dfrac{8}{9}$

7.) $\dfrac{1}{18}$
$= 15 \div \dfrac{5}{6}$
$= \dfrac{1}{15} \times \dfrac{5}{6} = \dfrac{5}{90} or \dfrac{1}{18}$

8.) $10 \dfrac{2}{3}$
$\dfrac{3}{8} \div 4$
$= \dfrac{8}{3} \times \dfrac{4}{1} = \dfrac{32}{3} or 10 \dfrac{2}{3}$

9.) $\dfrac{12}{25}$
$1 \dfrac{2}{3} \div \dfrac{4}{5}$
$= \dfrac{5}{3} \div\dfrac{4}{5}$
$= \dfrac{3}{5} \times \dfrac{4}{5} = \dfrac{12}{25}$

10.) $\dfrac{1}{58}$
$7 \dfrac{1}{4} \div \dfrac{1}{8}$
$= \dfrac{29}{4} \div \dfrac{1}{8}$
$= \dfrac{4}{29} \times\dfrac{1}{8} = \dfrac{4}{232} or \dfrac{1}{58}$

You might also like: Multiplication and Division of Fractions Exercises – Set 1

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3 Comments

MELISSA
January 11, 2019

mali po yung process ng division of fractions..
Please double check here
https://www.wikihow.com/Divide-Fractions-by-Fractions
para ma e- correct.

Shei
March 16, 2019

The process of division of fraction on number 6 and 8 is it correct? The way of reciprocal

exequiel
June 10, 2019

Typo error it should be equal sign or or number 4 answer