Division Involving a Whole Number and a Fraction Online Quiz

Answer : C

Explanation

Step 1:

$\frac{5}{3}$ ÷ 2 = $\frac{5}{3}$ ÷ $\frac{2}{1}$

Step 2:

Rewriting division as multiplication operation

$\frac{5}{3}$ ÷ $\frac{2}{1}$ = $\frac{5}{3}$ × $\frac{1}{2}$ = $\frac{(5×1)}{(3×2)}$ = $\frac{5}{6}$

Step 3:

So, $\frac{5}{3}$ ÷ 2 = $\frac{5}{6}$

Q 2 - Divide 8 ÷ $\frac{4}{6}$

$\frac{9}{1}$

$\frac{12}{1}$

$\frac{10}{1}$

$\frac{15}{1}$

Answer : B

Explanation

Step 1:

8 ÷ $\frac{4}{6}$ = $\frac{8}{1}$ ÷ $\frac{4}{6}$

Step 2:

Rewriting division as multiplication operation

$\frac{8}{1}$ ÷ $\frac{4}{6}$ = $\frac{8}{1}$ × $\frac{6}{4}$ = $\frac{(8×6)}{(1×4)}$ = $\frac{48}{4}$ = $\frac{12}{1}$

Step 3:

So, 8 ÷ $\frac{4}{6}$ = $\frac{12}{1}$ = 12

Q 3 - Divide $\frac{4}{9}$ ÷ 2

$\frac{2}{9}$

$\frac{3}{9}$

$\frac{4}{9}$

$\frac{9}{2}$

Answer : A

Explanation

Step 1:

$\frac{4}{9}$ ÷ 2 = $\frac{4}{9}$ ÷ $\frac{2}{1}$

Step 2:

Rewriting division as multiplication operation

$\frac{4}{9}$ ÷ $\frac{2}{1}$ = $\frac{4}{9}$ × $\frac{1}{2}$ = $\frac{(4×1)}{(9×2)}$ = $\frac{4}{18}$ = $\frac{2}{9}$

Step 3:

So, $\frac{4}{9}$ ÷ 2 = $\frac{2}{9}$

Q 4 - Divide 9 ÷ $\frac{3}{5}$

$\frac{1}{12}$

$\frac{12}{1}$

$\frac{1}{15}$

$\frac{15}{1}$

Answer : D

Explanation

Step 1:

9 ÷ $\frac{3}{5}$ = $\frac{9}{1}$ ÷ $\frac{3}{5}$

Step 2:

Rewriting division as multiplication operation

$\frac{9}{1}$ ÷ $\frac{3}{5}$ = $\frac{(9×5)}{(1×3)}$ × $\frac{5}{3}$ = $\frac{3}{5}$ = $\frac{45}{3}$ = $\frac{15}{1}$

Step 3:

So, 9 ÷ $\frac{3}{5}$ = $\frac{15}{1}$ = 15

Q 5 - Divide $\frac{9}{7}$ ÷ 3

$\frac{2}{7}$

$\frac{3}{7}$

$\frac{3}{8}$

$\frac{7}{3}$

Answer : B

Explanation

Step 1:

$\frac{9}{7}$ ÷ 3 = $\frac{9}{7}$ ÷ $\frac{3}{1}$

Step 2:

Rewriting division as multiplication operation

$\frac{9}{7}$ ÷ $\frac{3}{1}$ = $\frac{9}{7}$ × $\frac{1}{3}$ = $\frac{(9×1)}{(7×3)}$ = $\frac{9}{21}$ = $\frac{3}{7}$

Step 3:

So, $\frac{9}{7}$ ÷ 3 = $\frac{3}{7}$

Q 6 - Divide 5 ÷ $\frac{10}{3}$

$\frac{2}{3}$

$\frac{5}{2}$

$\frac{3}{2}$

$\frac{2}{5}$

Answer : C

Explanation

Step 1:

5 ÷ $\frac{10}{3}$ = $\frac{5}{1}$ ÷ $\frac{10}{3}$

Step 2:

Rewriting division as multiplication operation

$\frac{5}{1}$ ÷ $\frac{10}{3}$ = $\frac{5}{1}$ × $\frac{3}{10}$ = $\frac{(5×3)}{(1×10)}$ = $\frac{15}{10}$ = $\frac{3}{2}$

Step 3:

So, 5 ÷ $\frac{10}{3}$ = $\frac{3}{2}$

Q 7 - Divide $\frac{6}{9}$ ÷ 4

$\frac{1}{6}$

$\frac{2}{6}$

$\frac{4}{6}$

$\frac{6}{1}$

Answer : A

Explanation

Step 1:

$\frac{6}{9}$ ÷ 4 = $\frac{6}{9}$ ÷ $\frac{4}{1}$

Step 2:

Rewriting division as multiplication operation

$\frac{6}{9}$ ÷ $\frac{4}{1}$ = $\frac{6}{9}$ × $\frac{1}{4}$ = $\frac{(6×1)}{(9×4)}$ = $\frac{6}{36}$ = $\frac{1}{6}$

Step 3:

So, $\frac{6}{9}$ ÷ 4 = $\frac{1}{6}$

Q 8 - Divide 6 ÷ $\frac{5}{7}$

$\frac{5}{2}$

$\frac{30}{7}$

$\frac{35}{6}$

$\frac{42}{5}$

Answer : D

Explanation

Step 1:

6 ÷ $\frac{5}{7}$ = $\frac{6}{1}$ ÷ $\frac{5}{7}$

Step 2:

Rewriting division as multiplication operation

$\frac{6}{1}$ ÷ $\frac{5}{7}$ = $\frac{6}{1}$ × $\frac{7}{5}$ = $\frac{(6×7)}{(1×5)}$ = $\frac{42}{5}$

Step 3:

So, 6 ÷ $\frac{5}{7}$ = $\frac{42}{5}$

Q 9 - Divide $\frac{5}{6}$ ÷ 4

$\frac{3}{24}$

$\frac{4}{24}$

$\frac{5}{24}$

$\frac{24}{5}$

Answer : C

Explanation

Step 1:

$\frac{5}{6}$ ÷ 4 = $\frac{5}{6}$ ÷ $\frac{4}{1}$

Step 2:

Rewriting division as multiplication operation

$\frac{5}{6}$ ÷ $\frac{4}{1}$ = $\frac{5}{6}$ × $\frac{1}{4}$ = $\frac{(5×1)}{(6×4)}$ = $\frac{5}{24}$

Step 3:

So, $\frac{5}{6}$ ÷ 4 = $\frac{5}{24}$

Q 10 - Divide 7 ÷ $\frac{8}{6}$

$\frac{21}{6}$

$\frac{21}{4}$

$\frac{21}{8}$

$\frac{4}{21}$

Answer : B

Explanation

Step 1:

7 ÷ $\frac{8}{6}$ = $\frac{7}{1}$ ÷ $\frac{8}{6}$

Step 2:

Rewriting division as multiplication operation

$\frac{7}{1}$ ÷ $\frac{8}{6}$ = $\frac{7}{1}$ × $\frac{6}{8}$ = $\frac{(7×6)}{(1×8)}$ = $\frac{42}{8}$ = $\frac{21}{4}$

Step 3:

So, 7 ÷ $\frac{8}{6}$ = $\frac{21}{4}$

division_involving_whole_number_and_fraction.htm

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