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- Writing an improper fraction as a mixed number
- Writing a mixed number as an improper fraction
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# Writing an improper fraction as a mixed number Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Writing an improper fraction as a mixed number**. 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.

**Q 1 - Write the following improper fraction as a mixed number.**

**$\mathbf {\frac{13}{4}}$**

### 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 $5\frac{5}{12}$

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