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 \(\frac{100}{100}\).

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

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

Final answer: \(0.75 = \frac{3}{4}\)

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 \(\frac{10}{10}\).

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

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

Final answer: \(2.5 = \frac{5}{2}\)