Convert decimals to fractions with our easy online calculator.
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:
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.
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 |
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.