Fraction Multiplication Online Quiz

Answer : A

Explanation

Step 1:

Multiplying across top and bottom

$\frac{5}{3}$ × $\frac{9}{10}$ = $\frac{(5×9)}{(3×10)}$ = $\frac{45}{30}$

Step 2:

Reducing to lowest terms

$\frac{45}{30}$ = $\frac{3}{2}$

Step 3:

So $\frac{5}{3}$ × $\frac{9}{10}$ = $\frac{3}{2}$

Q 2 - Multiply $\frac{5}{7}$ × $\frac{21}{25}$ and write your answer as a fraction in simplest form.

$\frac{2}{5}$

$\frac{3}{5}$

$\frac{4}{5}$

$\frac{1}{5}$

Answer : B

Explanation

Step 1:

Multiplying across top and bottom

$\frac{5}{7}$ × $\frac{21}{25}$ = $\frac{(5×21)}{(7×25)}$ = $\frac{105}{175}$

Step 2:

Reducing to lowest terms

$\frac{105}{175}$ = $\frac{3}{5}$

Step 3:

So $\frac{5}{7}$ × $\frac{21}{25}$ = $\frac{3}{5}$

Q 3 - Multiply $\frac{3}{8}$ × $\frac{24}{20}$ and write your answer as a fraction in simplest form.

$\frac{11}{20}$

$\frac{7}{20}$

$\frac{8}{20}$

$\frac{9}{20}$

Answer : D

Explanation

Step 1:

Multiplying across top and bottom

$\frac{3}{8}$ × $\frac{24}{20}$ = $\frac{(3×24)}{(8×20)}$ = $\frac{72}{160}$

Step 2:

Reducing to lowest terms

$\frac{72}{160}$ = $\frac{9}{20}$

Step 3:

So $\frac{3}{8}$ × $\frac{24}{20}$ = $\frac{9}{20}$

Q 4 - Multiply $\frac{9}{5}$ × $\frac{18}{20}$ and write your answer as a fraction in simplest form.

$\frac{1}{3}$

$\frac{1}{5}$

$\frac{1}{2}$

$\frac{1}{4}$

Answer : C

Explanation

Step 1:

Multiplying across top and bottom

$\frac{9}{5}$ × $\frac{18}{20}$ = $\frac{(5×18)}{(9×20)}$ = $\frac{90}{180}$

Step 2:

Reducing to lowest terms

$\frac{90}{180}$ = $\frac{1}{2}$

Step 3:

So $\frac{9}{5}$ × $\frac{18}{20}$ = $\frac{1}{2}$

Q 5 - Multiply $\frac{6}{9}$ × $\frac{27}{28}$ and write your answer as a fraction in simplest form.

$\frac{9}{13}$

$\frac{9}{15}$

$\frac{9}{14}$

$\frac{9}{16}$

Answer : C

Explanation

Step 1:

Multiplying across top and bottom

$\frac{6}{9}$ × $\frac{27}{28}$ = $\frac{(6×27)}{(9×28)}$ = $\frac{162}{252}$

Step 2:

Reducing to lowest terms

$\frac{162}{252}$ = $\frac{9}{14}$

Step 3:

So $\frac{6}{9}$ × $\frac{27}{28}$ = $\frac{9}{14}$

Q 6 - Multiply $\frac{5}{7}$ × $\frac{21}{20}$ and write your answer as a fraction in simplest form.

$\frac{1}{4}$

$\frac{3}{4}$

$\frac{5}{4}$

$\frac{7}{4}$

Answer : B

Explanation

Step 1:

Multiplying across top and bottom

$\frac{5}{7}$ × $\frac{21}{20}$ = $\frac{(5×21)}{(7×20)}$ = $\frac{105}{140}$

Step 2:

Reducing to lowest terms

$\frac{105}{140}$ = $\frac{3}{4}$

Step 3:

So $\frac{5}{7}$ × $\frac{21}{20}$ = $\frac{3}{4}$

Q 7 - Multiply $\frac{7}{9}$ × $\frac{18}{20}$ and write your answer as a fraction in simplest form.

$\frac{7}{10}$

$\frac{8}{10}$

$\frac{6}{10}$

$\frac{9}{10}$

Answer : A

Explanation

Step 1:

Multiplying across top and bottom

$\frac{7}{9}$ × $\frac{18}{20}$ = $\frac{(7×18)}{(9×20)}$ = $\frac{126}{180}$

Step 2:

Reducing to lowest terms

$\frac{126}{180}$ = $\frac{7}{10}$

Step 3:

So $\frac{7}{9}$ × $\frac{18}{20}$ = $\frac{7}{10}$

Q 8 - Multiply $\frac{8}{9}$ × $\frac{27}{28}$ and write your answer as a fraction in simplest form.

$\frac{4}{7}$

$\frac{5}{7}$

$\frac{3}{7}$

$\frac{6}{7}$

Answer : D

Explanation

Step 1:

Multiplying across top and bottom

$\frac{8}{9}$ × $\frac{27}{28}$ = $\frac{(8×27)}{(9×28)}$ = $\frac{216}{252}$

Step 2:

Reducing to lowest terms

$\frac{216}{252}$ = $\frac{6}{7}$

Step 3:

So $\frac{8}{9}$ × $\frac{27}{28}$ = $\frac{6}{7}$

Q 9 - Multiply $\frac{3}{4}$ × $\frac{32}{25}$ and write your answer as a fraction in simplest form.

$\frac{23}{25}$

$\frac{24}{25}$

$\frac{22}{25}$

$\frac{21}{25}$

Answer : B

Explanation

Step 1:

Multiplying across top and bottom

$\frac{3}{4}$ × $\frac{32}{25}$ = $\frac{(3×32)}{(4×25)}$ = $\frac{96}{100}$

Step 2:

Reducing to lowest terms

$\frac{96}{100}$ = $\frac{24}{25}$

Step 3:

So $\frac{3}{4}$ × $\frac{32}{25}$ = $\frac{24}{25}$

Q 10 - Multiply 2/5 × 35/21 and write your answer as a fraction in simplest form.

$\frac{1}{3}$

$\frac{4}{3}$

$\frac{2}{3}$

$\frac{5}{3}$

Answer : C

Explanation

Step 1:

Multiplying across top and bottom

$\frac{2}{5}$ × $\frac{35}{21}$ = $\frac{(2×35)}{(5×21)}$ = $\frac{70}{105}$

Step 2:

Reducing to lowest terms

$\frac{70}{105}$ = $\frac{2}{3}$

Step 3:

So $\frac{2}{5}$ × $\frac{35}{21}$ = $\frac{2}{3}$

fraction_multiplications.htm

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