Decimal to Fraction Calculator

Convert decimals to fractions with our easy online calculator.

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How to convert decimal to fraction?

Converting decimals to fractions is one of the most common arithmetic operations. Suppose we have a decimal number represented by A. The steps to convert a non-repeating and terminating decimal to a fraction are given below:

  1. Step 1: Count the number of digits after the decimal point in the given number. Let this value be denoted by n.
  2. Step 2: Now multiply A by 10n. This value becomes the numerator.
  3. Step 3: Write 10n as the denominator.
  4. Step 4: Simplify this fraction.

The same steps are used to convert a negative decimal into a fraction. The only difference is that the simplified fraction has a negative sign.

Decimal to Fraction Chart

We can use the decimal to fraction chart as a quick reference to the most needed conversions between decimals to fractions and vice versa. Here is a chart of some commonly-used fractions and their decimal equivalents. The fractions in the third column have been obtained after simplifying the fractions in the second column.

Decimal Fraction Equivalent Simplest Form
0.1 1/10 1/10
0.2 2/10 1/5
0.3 3/10 3/10
0.4 4/10 2/5
0.5 5/10 1/2
0.6 6/10 6/10
0.75 75/100 3/4
0.125 125/1000 1/8
0.625 625/1000 5/8
1.25

125/100

1 3/4 = 7/4

Examples on Converting Decimal to Fraction

Example 1: Convert 0.375 to a fraction and verify it using the Decimal to Fraction Calculator.

Solution:

There are 3 digits after the decimal point. Thus, n = 3.

Multiplying and dividing by 103, we get

0.375 = 0.375 × (103 / 103)

= 375 / 1000

= 3 / 8

Thus the fractional form of 0.375 is 3/8.

Example 2: Convert 1.5 to a fraction and verify it using the Decimal to Fraction Calculator.

Solution:

There are 1 digits after the decimal point. Thus, n = 1.

Multiplying and dividing by 101, we get

1.5 = 1.5 × (101 / 101)

= 15 / 10

= 3 / 2

Thus the fractional form of 1.5 is 3/2 or 1 1/2.

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