Multiplication of 3 Fractions Online Quiz

Answer : B

Explanation

Step 1:

Multiplying across top and bottom

$\frac{3}{7}$ × $\frac{21}{8}$ × $\frac{8}{9}$ = $\frac{(3×21×8)}{(7×8×9)}$ = $\frac{504}{504}$

Step 2:

Reducing to lowest terms

$\frac{504}{504}$ = $\frac{1}{1}$ = 1

Step 3:

So $\frac{3}{7}$ × $\frac{21}{8}$ × $\frac{8}{9}$ = $\frac{1}{1}$ = 1

Q 2 - Multiply $\frac{4}{5}$ × $\frac{15}{8}$ × $\frac{3}{7}$

$\frac{3}{14}$

$\frac{5}{14}$

$\frac{9}{14}$

$\frac{11}{14}$

Answer : C

Explanation

Step 1:

Multiplying across top and bottom

$\frac{4}{5}$ × $\frac{15}{8}$ × $\frac{3}{7}$ = $\frac{(4×15×3)}{(5×8×7)}$ = $\frac{180}{280}$

Step 2:

Reducing to lowest terms

$\frac{180}{280}$ = $\frac{9}{14}$

Step 3:

So $\frac{4}{5}$ × $\frac{15}{8}$ × $\frac{3}{7}$ = $\frac{9}{14}$

Q 3 - Multiply $\frac{2}{5}$ × $\frac{5}{4}$ × $\frac{12}{15}$

$\frac{1}{5}$

$\frac{3}{5}$

$\frac{4}{5}$

$\frac{2}{5}$

Answer : D

Explanation

Step 1:

Multiplying across top and bottom

$\frac{2}{5}$ × $\frac{5}{4}$ × $\frac{12}{15}$ = $\frac{(2×5×12)}{(5×4×15)}$ = $\frac{120}{300}$

Step 2:

Reducing to lowest terms

$\frac{120}{300}$ = $\frac{2}{5}$

Step 3:

So $\frac{2}{5}$ × $\frac{5}{4}$ × $\frac{12}{15}$ = $\frac{2}{5}$

Q 4 - Multiply $\frac{3}{8}$ × $\frac{8}{9}$ × $\frac{4}{7}$

$\frac{4}{21}$

$\frac{5}{21}$

$\frac{8}{21}$

$\frac{11}{21}$

Answer : A

Explanation

Step 1:

Multiplying across top and bottom

$\frac{3}{8}$ × $\frac{8}{9}$ × $\frac{4}{7}$ = $\frac{(3×8×4)}{(8×9×7)}$ = $\frac{96}{504}$

Step 2:

Reducing to lowest terms

$\frac{96}{504}$ = $\frac{4}{21}$

Step 3:

So $\frac{3}{8}$ × $\frac{8}{9}$ × $\frac{4}{7}$ = $\frac{4}{21}$

Q 5 - Multiply $\frac{2}{9}$ × $\frac{18}{8}$ × $\frac{3}{2}$

$\frac{1}{4}$

$\frac{5}{4}$

$\frac{3}{4}$

$\frac{7}{4}$

Answer : C

Explanation

Step 1:

Multiplying across top and bottom

$\frac{2}{9}$ × $\frac{18}{8}$ × $\frac{3}{2}$ = $\frac{(2×18×3)}{(9×8×2)}$ = $\frac{108}{144}$

Step 2:

Reducing to lowest terms

$\frac{108}{144}$ = $\frac{3}{4}$

Step 3:

So $\frac{2}{9}$ × $\frac{18}{8}$ × $\frac{3}{2}$ = $\frac{3}{4}$

Q 6 - Multiply $\frac{5}{6}$ × $\frac{6}{7}$ × $\frac{14}{15}$

$\frac{2}{3}$

$\frac{5}{3}$

$\frac{1}{3}$

$\frac{7}{3}$

Answer : A

Explanation

Step 1:

Multiplying across top and bottom

$\frac{5}{6}$ × $\frac{6}{7}$ × $\frac{14}{15}$ $\frac{(5×6×14)}{(6×7×15)}$ = $\frac{420}{630}$

Step 2:

Reducing to lowest terms

$\frac{420}{630}$ = $\frac{2}{3}$

Step 3:

So $\frac{5}{6}$ × $\frac{6}{7}$ × $\frac{14}{15}$ = $\frac{2}{3}$

Q 7 - Multiply $\frac{4}{3}$ × $\frac{14}{8}$ × $\frac{4}{7}$

$\frac{2}{3}$

$\frac{4}{3}$

$\frac{5}{3}$

$\frac{7}{3}$

Answer : B

Explanation

Step 1:

Multiplying across top and bottom

$\frac{4}{3}$ × $\frac{14}{8}$ × $\frac{4}{7}$ = $\frac{(4×14×4)}{(3×8×7)}$ = $\frac{224}{168}$

Step 2:

Reducing to lowest terms

$\frac{224}{168}$ = $\frac{4}{3}$

Step 3:

So $\frac{4}{3}$ × $\frac{14}{8}$ × $\frac{4}{7}$ = $\frac{4}{3}$

Q 8 - Multiply $\frac{2}{3}$ × $\frac{12}{9}$ × $\frac{9}{8}$

$\frac{1}{2}$

Answer : D

Explanation

Step 1:

Multiplying across top and bottom

$\frac{2}{3}$ × $\frac{12}{9}$ × $\frac{9}{8}$ = $\frac{(2×12×9)}{(3×9×8)}$ = $\frac{216}{216}$

Step 2:

Reducing to lowest terms

$\frac{216}{216}$ = $\frac{1}{1}$ = 1

Step 3:

So $\frac{2}{3}$ × $\frac{12}{9}$ × $\frac{9}{8}$ = $\frac{1}{1}$ = 1

Q 9 - Multiply $\frac{4}{7}$ × $\frac{21}{8}$ × $\frac{8}{7}$

$\frac{12}{7}$

$\frac{11}{7}$

$\frac{13}{7}$

$\frac{15}{7}$

Answer : A

Explanation

Step 1:

Multiplying across top and bottom

$\frac{4}{7}$ × $\frac{21}{8}$ × $\frac{8}{7}$ = $\frac{(4×21×8)}{(7×8×7)}$ = $\frac{672}{392}$

Step 2:

Reducing to lowest terms

$\frac{672}{392}$ = $\frac{12}{7}$

Step 3:

So $\frac{4}{7}$ × $\frac{21}{8}$ × $\frac{8}{7}$ = $\frac{12}{7}$

Q 10 - Multiply $\frac{3}{5}$ × $\frac{10}{8}$ × $\frac{3}{7}$

$\frac{8}{28}$

$\frac{9}{28}$

$\frac{11}{28}$

$\frac{13}{28}$

Answer : B

Explanation

Step 1:

Multiplying across top and bottom

$\frac{3}{5}$ × $\frac{10}{8}$ × $\frac{3}{7}$ = $\frac{(3×10×3)}{(5×8×7)}$ = $\frac{90}{280}$

Step 2:

Reducing to lowest terms

$\frac{90}{280}$ = $\frac{9}{28}$

Step 3:

So $\frac{3}{5}$ × $\frac{10}{8}$ × $\frac{3}{7}$ = $\frac{9}{28}$

multiplication_of_3_fractions.htm

Previous Page Print Page