Converting Decimals to Fractions - Examples, Exercises and Solutions

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.

Practice Converting Decimals to Fractions

Exercise #1

Write the following fraction as a decimal:

510= \frac{5}{10}=

Video Solution

Step-by-Step Solution

Write the simple fraction in decimal form

5.0 5.0

Since the fraction is divided by 10, move the decimal point one place to the left and get:

.5 .5

Complete the zero to the left of the decimal point and get:

0.5 0.5

Answer

0.5

Exercise #2

Write the following fraction as a decimal:

710= \frac{7}{10}=

Video Solution

Step-by-Step Solution

Write the simple fraction in decimal form

7.0 7.0

Since the fraction is divisible by 10, move the decimal point one place to the left and get:

.7 .7

Let's complete the zero to the left of the decimal point and get:

0.7 0.7

Answer

0.7

Exercise #3

0.171= 0.171=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the decimal point represents tenths

Two numbers after the decimal point represent hundredths

Three numbers after the decimal point represent thousandths

And so on

In this case there are three numbers after the decimal point so the number is divided by 1000

Write the fraction in the following way:

01711000 \frac{0171}{1000}

We will remove the extra zeros and get:

1711000 \frac{171}{1000}

Answer

1711000 \frac{171}{1000}

Exercise #4

Write the following fraction as a decimal:

2100= \frac{2}{100}=

Video Solution

Answer

0.02

Exercise #5

Write the following fraction as a decimal:

3100= \frac{3}{100}=

Video Solution

Answer

0.03

Exercise #1

Write the following fraction as a decimal:

33100= \frac{33}{100}=

Video Solution

Answer

0.33

Exercise #2

Write the following fraction as a decimal:

14100= \frac{14}{100}=

Video Solution

Answer

0.14

Exercise #3

Write the following fraction as a decimal:

4100= \frac{4}{100}=

Video Solution

Answer

0.04

Exercise #4

Write the following fraction as a decimal:

40100= \frac{40}{100}=

Video Solution

Answer

0.4

Exercise #5

Write the following fraction as a decimal:

50100= \frac{50}{100}=

Video Solution

Answer

0.5

Exercise #1

Write the following fraction as a decimal:

19100= \frac{19}{100}=

Video Solution

Answer

0.19

Exercise #2

Write the following fraction as a decimal:

9100= \frac{9}{100}=

Video Solution

Answer

0.09

Exercise #3

Write the following fraction as a decimal:

13100= \frac{13}{100}=

Video Solution

Answer

0.13

Exercise #4

Write the following fraction as a decimal:

61100= \frac{61}{100}=

Video Solution

Answer

0.61

Exercise #5

Write the following fraction as a decimal:

9100= \frac{9}{100}=

Video Solution

Answer

0.09

Topics learned in later sections

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