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.

Converting a Decimal Fraction to a Mixed Number

Suggested Topics to Practice in Advance

  1. What is a Decimal Number?
  2. Decimal Fractions
  3. Reducing and Expanding Decimal Numbers
  4. Addition and Subtraction of Decimal Numbers
  5. Comparison of Decimal Numbers
  6. Converting Decimals to Fractions

Practice Rewriting a decimal fraction as a mixed fraction

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

Exercise #1

Write the following fraction as a decimal:

1100= \frac{1}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

1.0 1.0

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

.010 .010

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

0.010=0.01 0.010=0.01

Answer

0.01

Exercise #2

Write the following fraction as a decimal:

20100= \frac{20}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

20.0 20.0

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

.200 .200

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

0.200=0.2 0.200=0.2

Answer

0.2

Exercise #3

Write the following fraction as a decimal:

3100= \frac{3}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

3.0 3.0

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

.030 .030

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

0.030=0.03 0.030=0.03

Answer

0.03

Exercise #4

Write the following fraction as a decimal:

11100= \frac{11}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

11.0 11.0

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

.110 .110

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

0.110=0.11 0.110=0.11

Answer

0.11

Exercise #5

Write the following fraction as a decimal:

5100= \frac{5}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

5.0 5.0

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

.050 .050

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

0.050=0.05 0.050=0.05

Answer

0.05

Exercise #6

Write the following fraction as a decimal:

53100= \frac{53}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

53.0 53.0

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

.530 .530

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

0.530=0.53 0.530=0.53

Answer

0.53

Exercise #7

Write the following fraction as a decimal:

47100= \frac{47}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

47.0 47.0

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

.470 .470

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

0.470=0.47 0.470=0.47

Answer

0.47

Exercise #8

Write the following fraction as a decimal:

66100= \frac{66}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

66.0 66.0

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

.660 .660

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

0.660=0.66 0.660=0.66

Answer

0.66

Exercise #9

Write the following fraction as a decimal:

13100= \frac{13}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

13.0 13.0

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

.130 .130

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

0.130=0.13 0.130=0.13

Answer

0.13

Exercise #10

Write the following fraction as a decimal:

61100= \frac{61}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

61.0 61.0

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

.610 .610

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

0.610=0.61 0.610=0.61

Answer

0.61

Exercise #11

Write the following fraction as a decimal:

9100= \frac{9}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

9.0 9.0

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

.090 .090

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

0.090=0.09 0.090=0.09

Answer

0.09

Exercise #12

Write the following fraction as a decimal:

9100= \frac{9}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

9.0 9.0

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

.090 .090

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

0.090=0.09 0.090=0.09

Answer

0.09

Exercise #13

Write the following fraction as a decimal:

50100= \frac{50}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

50.0 50.0

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

.500 .500

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

0.500=0.5 0.500=0.5

Answer

0.5

Exercise #14

Write the following fraction as a decimal:

19100= \frac{19}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

19.0 19.0

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

.190 .190

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

0.190=0.19 0.190=0.19

Answer

0.19

Exercise #15

Write the following fraction as a decimal:

40100= \frac{40}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

40.0 40.0

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

.400 .400

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

0.400=0.4 0.400=0.4

Answer

0.4