Mixed number division Online Quiz



Following quiz provides Multiple Choice Questions (MCQs) related to Mixed number division. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers
Q 1 - Divide $\mathbf {9 \div 6\frac{1}{3}}$. Write your answer as a mixed number in simplest form (wherever possible).

Answer : B

Explanation

Step 1:

First, we write the mixed number $6\frac{1}{3}$ as an improper fraction.

$6\frac{1}{3} = \frac{\left ( 6 \times 3 + 1 \right )}{3} = \frac{19}{3}$

Step 2:

$9 \div 6\frac{1}{3} = \frac{9}{1} \div \frac{19}{3} = \frac{9}{1} \times \frac{3}{19}$

Multiplying numerators and denominators

$\frac{9}{1} \times \frac{3}{19} = \frac{(9 \times 3)}{(1 \times 19)} = \frac{27}{19}$

Step 3:

$\frac{27}{19}$ can be written as a mixed number as follows

$\frac{27}{19} = 1\frac{8}{19}$

Step 4:

So, $9 \div 6\frac{1}{3} = 1\frac{8}{19}$

Q 2 - Divide $\mathbf {11 \div 8\frac{1}{5}}$. Write your answer as a mixed number in simplest form (wherever possible).

Answer : A

Explanation

Step 1:

First, we write the mixed number $8\frac{1}{5}$ as an improper fraction.

$8\frac{1}{5} = \frac{\left ( 8 \times 5 + 1 \right )}{5} = \frac{41}{5}$

Step 2:

$11 \div 8\frac{1}{5} = \frac{11}{1} \div \frac{41}{5} = \frac{11}{1} \times \frac{5}{41}$

Multiplying numerators and denominators

$\frac{11}{1} \times \frac{5}{41}= \frac{(11 \times 5)}{(1 \times 41)} = \frac{55}{41}$

Step 3:

$\frac{55}{41}$ can be written as a mixed number as follows

$\frac{55}{41} = 1\frac{14}{41}$

Step 4:

So, $11 \div 8\frac{1}{5} = 1\frac{14}{41}$

Q 3 - Divide $\mathbf {7 \div 3\frac{1}{3}}$. Write your answer as a mixed number in simplest form (wherever possible).

Answer : C

Explanation

Step 1:

First, we write the mixed number $3\frac{1}{3}$ as an improper fraction.

$3\frac{1}{3} = \frac{\left ( 3 \times 3 + 1 \right )}{3} = \frac{10}{3}$

Step 2:

$7 \div 3\frac{1}{3} = \frac{7}{1} \div \frac{10}{3} = \frac{7}{1} \times \frac{3}{10}$

Multiplying numerators and denominators

$\frac{7}{1} \times \frac{3}{10} = \frac{(7 \times 3)}{(1 \times 10)} = \frac{21}{10}$

Step 3:

$\frac{21}{10}$ can be written as a mixed number as follows

$\frac{21}{10} = 2\frac{1}{10}$

Step 4:

So, $7 \div 3\frac{1}{3} = 2\frac{1}{10}$

Q 4 - Divide $\mathbf {\frac{8}{9} \div 5\frac{1}{6}}$. Write your answer as a mixed number in simplest form (wherever possible).

Answer : D

Explanation

Step 1:

First, we write the mixed number $5\frac{1}{6}$ as an improper fraction.

$5\frac{1}{6} = \frac{\left ( 5 \times 6 + 1 \right )}{6} = \frac{31}{6}$

Step 2:

$\frac{8}{9} \div 5\frac{1}{6} = \frac{8}{9} \div \frac{31}{6} = \frac{8}{9} \times \frac{6}{31}$

Multiplying numerators and denominators

$\frac{8}{9} \times \frac{6}{31} = \frac{(8 \times 6)}{(9 \times 31)} = \frac{48}{279} = \frac{16}{93}$

Step 3:

So, $\frac{8}{9} \div 5\frac{1}{6} = \frac{16}{93}$

Q 5 - Divide $\mathbf {\frac{19}{5} \div 6\frac{2}{5}}$. Write your answer as a mixed number in simplest form (wherever possible).

Answer : C

Explanation

Step 1:

First, we write the mixed number $6\frac{2}{5}$ as an improper fraction.

$6\frac{2}{5} = \frac{\left ( 6 \times 5 + 2 \right )}{5} = \frac{32}{5}$

Step 2:

$\frac{19}{5} \div 6\frac{2}{5} = \frac{19}{5} \div \frac{32}{5} = \frac{19}{5} \times \frac{5}{32}$

Multiplying numerators and denominators

$\frac{19}{5} \times \frac{5}{32} = \frac{(19 \times 5)}{(5 \times 32)} = \frac{19}{32}$

Step 3:

So, $\frac{19}{5} \div 6\frac{2}{5} = \frac{19}{32}$

Q 6 - Divide $\mathbf {\frac{13}{8} \div 3\frac{5}{6}}$. Write your answer as a mixed number in simplest form (wherever possible).

Answer : A

Explanation

Step 1:

First, we write the mixed number $3\frac{5}{6}$ as an improper fraction.

$3\frac{5}{6} = \frac{\left ( 3 \times 6 + 5 \right )}{6} = \frac{23}{6}$

Step 2:

$\frac{13}{8} \div 3\frac{5}{6} = \frac{13}{8} \div \frac{23}{6} = \frac{13}{8} \times \frac{6}{23}$

Multiplying numerators and denominators

$\frac{13}{8} \times \frac{6}{23} = \frac{(13 \times 6)}{(8 \times 23)} = \frac{39}{92}$

Step 3:

So, $\frac{13}{8} \div 3\frac{5}{6} = \frac{39}{92}$

Q 7 - Divide $\mathbf {9\frac{1}{3} \div 4\frac{1}{4}}$. Write your answer as a mixed number in simplest form (wherever possible).

Answer : B

Explanation

Step 1:

First, we write the mixed numbers as improper fractions.

$9\frac{1}{3} = \frac{\left ( 9 \times 3 + 1 \right )}{3} = \frac{28}{3}$

$4\frac{1}{4} = \frac{\left ( 4 \times 4 + 1 \right )}{4} = \frac{17}{4}$

Step 2:

$9\frac{1}{3} \div 4\frac{1}{4} = \frac{28}{3} \div \frac{17}{4} = \frac{28}{3} \times \frac{4}{17}$

Multiplying numerators and denominators

$\frac{28}{3} \times \frac{4}{17} = \frac{(28 \times 4)}{(3 \times 17)} = 1\frac{12}{51}$

Step 3:

$1\frac{12}{51}$ can be written as a mixed number as follows

$1\frac{12}{51} = 2\frac{10}{51}$

Step 4:

So, $9\frac{1}{3} \div 4\frac{1}{4} = 2\frac{10}{51}$

Q 8 - Divide $\mathbf {10\frac{3}{4} \div 7\frac{1}{4}}$. Write your answer as a mixed number in simplest form (wherever possible).

Answer : D

Explanation

Step 1:

First, we write the mixed numbers as improper fractions.

$10\frac{3}{4} = \frac{\left ( 10 \times 4 + 3 \right )}{4} = \frac{43}{4}$

$7\frac{1}{4} = \frac{\left ( 7 \times 4 + 1 \right )}{4} = \frac{29}{4}$

Step 2:

$10\frac{3}{4} \div 7\frac{1}{4} = \frac{43}{4} \div \frac{29}{4} = \frac{43}{4} \times \frac{4}{29}$

Multiplying numerators and denominators

$\frac{43}{4} \times \frac{4}{29}= \frac{(43 \times 4)}{(4 \times 29)} = \frac{43}{29}$

Step 3:

$\frac{43}{29}$ can be written as a mixed number as follows

$\frac{43}{29} = 1\frac{14}{29}$

Step 4:

So, $10\frac{3}{4} \div 7\frac{1}{4} = 1\frac{14}{29}$

Q 9 - Divide $\mathbf {8\frac{1}{5} \div 9\frac{3}{5}}$. Write your answer as a mixed number in simplest form (wherever possible).

Answer : A

Explanation

Step 1:

First, we write the mixed numbers as improper fractions.

$8\frac{1}{5} = \frac{\left ( 8 \times 5 + 1 \right )}{3} = \frac{41}{5}$

$9\frac{3}{5} = \frac{\left ( 9 \times 5 + 3 \right )}{5} = \frac{48}{5}$

Step 2:

$8\frac{1}{5} \div 9\frac{3}{5} = \frac{41}{5} \div \frac{48}{5} = \frac{41}{5} \times \frac{5}{48}$

Multiplying numerators and denominators

$\frac{41}{5} \times \frac{5}{48} = \frac{(41 \times 5)}{(5 \times 48)} = \frac{41}{48}$

Step 3:

So, $8\frac{1}{5} \div 9\frac{3}{5} = \frac{41}{48}$

Q 10 - Divide $\mathbf {10\frac{1}{6} \div 7\frac{1}{3}}$. Write your answer as a mixed number in simplest form (wherever possible).

Answer : B

Explanation

Step 1:

First, we write the mixed numbers as improper fractions.

$10\frac{1}{6} = \frac{\left ( 10 \times 6 + 1 \right )}{6} = \frac{61}{6}$

$7\frac{1}{3} = \frac{\left ( 7 \times 3 + 1 \right )}{3} = \frac{22}{3}$

Step 2:

$10\frac{1}{6} \div 7\frac{1}{3} = \frac{61}{6} \div \frac{22}{3} = \frac{61}{6} \times \frac{3}{22}$

Multiplying numerators and denominators

$\frac{61}{6} \times \frac{3}{22} = \frac{(61 \times 3)}{(6 \times 22)} = \frac{61}{44}$

Step 3:

$\frac{61}{44}$ can be written as a mixed number as follows

$\frac{61}{44} = 1\frac{17}{44}$

Step 4:

So, $10\frac{1}{6} \div 7\frac{1}{3} = 1\frac{17}{44}$


mixed_number_division.htm

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