To convert a decimal number to a simple fraction
we will ask ourselves how the decimal number
is read. If we use the word tenths, we will place 1010 in the denominator
If we use the word hundredths, we will place 100100 in the denominator
If we use the word thousandths, we will place 10001000 in the denominator.

The number itself will be placed in the numerator.
*If the integer figure differs from 00, we will note it next to the simple fraction.

Suggested Topics to Practice in Advance

  1. What is a Decimal Number?
  2. Decimal Fractions
  3. Reducing and Expanding Decimal Numbers

Practice Converting Decimals to Fractions

Examples with solutions for Converting Decimals to Fractions

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

Topics learned in later sections

  1. Converting a Decimal Fraction to a Mixed Number
  2. Addition and Subtraction of Decimal Numbers
  3. Comparison of Decimal Numbers