Writing an improper fraction as a mixed number Online Quiz

Answer : A

Explanation

Step 1:

Treating the improper fraction as a division operation, we divide 13 by 4

Step 2:

We get 3 as a quotient and 1 as a remainder which as proper fraction is $\frac{1}{4}$.

Step 3:

So, $\frac{13}{4}$ is written as a mixed number $3\frac{1}{4}$

$\frac{13}{4} = 3\frac{1}{4}$

Q 2 - Write the following improper fraction as a mixed number.

$\mathbf {\frac{17}{3}}$

Answer : B

Explanation

Step 1:

Treating the improper fraction as a division operation, we divide 17 by 3

Step 2:

We get 5 as a quotient and 2 as a remainder which as proper fraction is $\frac{2}{3}$.

Step 3:

So, $\frac{17}{3}$ is written as a mixed number $5\frac{2}{3}$

$\frac{17}{3} = 5\frac{2}{3}$

Q 3 - Write the following improper fraction as a mixed number.

$\mathbf {\frac{19}{6}}$

Answer : D

Explanation

Step 1:

Treating the improper fraction as a division operation, we divide 19 by 6

Step 2:

We get 3 as a quotient and 1 as a remainder which as proper fraction is $\frac{1}{6}$.

Step 3:

So, $\frac{19}{6}$ is written as a mixed number $3\frac{1}{6}$

$\frac{19}{6} = 3\frac{1}{6}$

Q 4 - Write the following improper fraction as a mixed number.

$\mathbf {\frac{22}{5}}$

Answer : C

Explanation

Step 1:

Treating the improper fraction as a division operation, we divide 22 by 5

Step 2:

We get 4 as a quotient and 2 as a remainder which as proper fraction is $\frac{2}{5}$.

Step 3:

So, $\frac{22}{5}$ is written as a mixed number $4\frac{2}{5}$

$\frac{22}{5} = 4\frac{2}{5}$

Q 5 - Write the following improper fraction as a mixed number.

$\mathbf {\frac{23}{7}}$

Answer : B

Explanation

Step 1:

Treating the improper fraction as a division operation, we divide 23 by 7

Step 2:

We get 3 as a quotient and 2 as a remainder which as proper fraction is $\frac{2}{7}$.

Step 3:

So, $\frac{23}{7}$ is written as a mixed number $3\frac{2}{7}$

$\frac{23}{7} = 3\frac{2}{7}$

Q 6 - Write the following improper fraction as a mixed number.

$\mathbf {\frac{29}{8}}$

Answer : C

Explanation

Step 1:

Treating the improper fraction as a division operation, we divide 29 by 8

Step 2:

We get 3 as a quotient and 5 as a remainder which as proper fraction is $\frac{5}{8}$.

Step 3:

So, $\frac{29}{8}$ is written as a mixed number $3\frac{5}{8}$

$\frac{29}{8} = 3\frac{5}{8}$

Q 7 - Write the following improper fraction as a mixed number.

$\mathbf {\frac{31}{9}}$

Answer : A

Explanation

Step 1:

Treating the improper fraction as a division operation, we divide 31 by 9

Step 2:

We get 3 as a quotient and 4 as a remainder which as proper fraction is $\frac{4}{9}$.

Step 3:

So, $\frac{31}{9}$ is written as a mixed number $3\frac{4}{9}$

$\frac{31}{9} = 3\frac{4}{9}$

Q 8 - Write the following improper fraction as a mixed number.

$\mathbf {\frac{43}{10}}$

Answer : D

Explanation

Step 1:

Treating the improper fraction as a division operation, we divide 43 by 10

Step 2:

We get 4 as a quotient and 3 as a remainder which as proper fraction is $\frac{3}{10}$.

Step 3:

So, $\frac{43}{10}$ is written as a mixed number $4\frac{3}{10}$

$\frac{43}{10} = 4\frac{3}{10}$

Q 9 - Write the following improper fraction as a mixed number.

$\mathbf {\frac{51}{11}}$

Answer : B

Explanation

Step 1:

Treating the improper fraction as a division operation, we divide 51 by 11

Step 2:

We get 4 as a quotient and 7 as a remainder which as proper fraction is $\frac{7}{11}$.

Step 3:

So, $\frac{51}{11}$ is written as a mixed number $4\frac{7}{11}$

$\frac{51}{11} = 4\frac{7}{11}$

Q 10 - Write the following improper fraction as a mixed number.

$\mathbf {\frac{65}{12}}$

Answer : C

Explanation

Step 1:

Treating the improper fraction as a division operation, we divide 65 by 12

Step 2:

We get 5 as a quotient and 5 as a remainder which as proper fraction is $\frac{5}{12}$.

Step 3:

So, $\frac{65}{12}$ is written as a mixed number $5\frac{5}{12}$

$\frac{65}{12} = 5\frac{5}{12}$

writing_an_improper_fraction_as_mixed_number.htm

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