## Converting a decimal to a mixed number

To convert a decimal fraction to a mixed fraction,
we ask ourselves how to read the decimal fraction or in other words, what the last digit represents –
if we use the word tenths – we place 10 in the denominator
if we use the word hundredths – we place 100 in the denominator
if we use the word thousandths – we place 1000 in the denominator

The number itself – everything that appears after the decimal point, we place in the numerator.
The whole number in the decimal fraction, we add to the mixed fraction as the whole number in the mixed fraction.

## Examples with solutions for Rewriting a decimal fraction as a mixed fraction

### Exercise #1

Write the following fraction as a decimal:

$\frac{5}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$5.0$

Since the fraction divides by 100, we'll move the decimal point once to the left and get:

$.050$

We'll add the zero before the decimal point and get:

$0.050=0.05$

0.05

### Exercise #2

Write the following fraction as a decimal:

$\frac{3}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$3.0$

Since the fraction divides by 100, we move the decimal point once to the left and get:

$.030$

We'll add the zero before the decimal point and get:

$0.030=0.03$

0.03

### Exercise #3

Write the following fraction as a decimal:

$\frac{3}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$3.0$

Since the fraction divides by 100, we move the decimal point once to the left and get:

$.030$

We'll add the zero before the decimal point and get:

$0.030=0.03$

0.03

### Exercise #4

Write the following fraction as a decimal:

$\frac{11}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$11.0$

Since the fraction divides by 100, we move the decimal point once to the left and get:

$.110$

We'll add the zero before the decimal point and get:

$0.110=0.11$

0.11

### Exercise #5

Write the following fraction as a decimal:

$\frac{19}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$19.0$

Since the fraction divides by 100, we move the decimal point once to the left and get:

$.190$

We'll add the zero before the decimal point and get:

$0.190=0.19$

0.19

### Exercise #6

Write the following fraction as a decimal:

$\frac{1}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$1.0$

Since the fraction divides by 100, we move the decimal point once to the left and get:

$.010$

We'll add the zero before the decimal point and get:

$0.010=0.01$

0.01

### Exercise #7

Write the following fraction as a decimal:

$\frac{20}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$20.0$

Since the fraction divides by 100, we move the decimal point once to the left and get:

$.200$

We'll add the zero before the decimal point and get:

$0.200=0.2$

0.2

### Exercise #8

Write the following fraction as a decimal:

$\frac{2}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$2.0$

Since the fraction divides by 100, we move the decimal point once to the left and get:

$.020$

We'll add the zero before the decimal point and get:

$0.020=0.02$

0.02

### Exercise #9

Write the following fraction as a decimal:

$\frac{33}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$33.0$

Since the fraction divides by 100, we'll move the decimal point once to the left and get:

$.330$

We'll add the zero before the decimal point and get:

$0.330=0.33$

0.33

### Exercise #10

Write the following fraction as a decimal:

$\frac{47}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$47.0$

Since the fraction divides by 100, we'll move the decimal point once to the left and get:

$.470$

We'll add the zero before the decimal point and get:

$0.470=0.47$

0.47

### Exercise #11

Write the following fraction as a decimal:

$\frac{40}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$40.0$

Since the fraction divides by 100, we move the decimal point once to the left and get:

$.400$

We'll add the zero before the decimal point and get:

$0.400=0.4$

0.4

### Exercise #12

Write the following fraction as a decimal:

$\frac{53}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$53.0$

Since the fraction divides by 100, we move the decimal point once to the left and get:

$.530$

We'll add the zero before the decimal point and get:

$0.530=0.53$

0.53

### Exercise #13

Write the following fraction as a decimal:

$\frac{50}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$50.0$

Since the fraction divides by 100, we'll move the decimal point once to the left and get:

$.500$

We'll add the zero before the decimal point and get:

$0.500=0.5$

0.5

### Exercise #14

Write the following fraction as a decimal:

$\frac{61}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$61.0$

Since the fraction divides by 100, we'll move the decimal point once to the left and get:

$.610$

We'll add the zero before the decimal point and get:

$0.610=0.61$

0.61

### Exercise #15

Write the following fraction as a decimal:

$\frac{9}{100}=$

### Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$9.0$

Since the fraction divides by 100, we'll move the decimal point once to the left and get:

$.090$

We'll add the zero before the decimal point and get:

$0.090=0.09$

0.09