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:

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

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 10^{3}, we get

0.375 = 0.375 × (10^{3} / * *10^{3})

= 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 10^{1}, we get

1.5 = 1.5 × (10^{1} / * *10^{1})

= 15 / 10

= 3 / 2

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