Decimal to Fraction Calculator

This Decimal to Fraction Calculator helps you convert a decimal into a fraction and shows the working clearly step by step. Write the decimal as a fraction over a power of 10, then simplify by dividing the numerator and denominator by their greatest common factor. This gives the fraction in its simplest form. It is a simple way to check answers, understand decimal-to-fraction conversion, and practise basic arithmetic step by step.

Step-by-step method

1. Setup: Write the decimal.
2. Turn it into a fraction: Remove the decimal by using a power of 10.
3. Simplify: Divide top and bottom by the same number.

Example 1: 0.75

Step 1 - Setup: Write the decimal.

In this problem: Write 0.75 as a fraction over 1.

Step 2 - Turn it into a fraction: Remove the decimal by using a power of 10.

In this problem: There are 2 digits after the decimal, so we multiply by 100/100.

Step 3 - Simplify: Divide top and bottom by the same number.

In this problem: Both numbers can be divided by 25.

Final answer: 0.75 = 3/4

Example 2: 2.5

Step 1 - Setup: Write the decimal.

In this problem: Write 2.5 as a fraction over 1.

Step 2 - Turn it into a fraction: Remove the decimal by using a power of 10.

In this problem: There are 1 digits after the decimal, so we multiply by 10/10.

Step 3 - Simplify: Divide top and bottom by the same number.

In this problem: Both numbers can be divided by 5.

Final answer: 2.5 = 5/2