Understanding Decimals
Decimals are numbers that represent fractions in a base ten system. For example, 0.5 is equivalent to 5/10.
Steps to Convert Decimal to Fraction
1. Identify the Decimal
Look at the decimal number you want to convert. For instance, let’s take 0.75.
2. Count the Decimal Places
Determine how many digits are to the right of the decimal point. In 0.75, there are two decimal places.
3. Create the Fraction
Use the decimal number without the decimal point as the numerator. For 0.75, the numerator is 75.
- The denominator will be 1 followed by as many zeros as there are decimal places. Since there are two decimal places, the denominator is 100.
- Therefore, 0.75 becomes 75/100.
4. Simplify the Fraction
To simplify, find the greatest common divisor (GCD) of the numerator and denominator.
- The GCD of 75 and 100 is 25.
- Divide both the numerator and the denominator by the GCD:
- 75 ÷ 25 = 3
- 100 ÷ 25 = 4
- Thus, 0.75 simplifies to 3/4.
Example Conversions
- 0.5 to Fraction
- 0.5 = 5/10 = 1/2 (after simplification)
- 0.2 to Fraction
- 0.2 = 2/10 = 1/5 (after simplification)
Practice Makes Perfect
Converting decimals to fractions is easy with practice. Use these steps to convert any decimal you encounter!

Decimals in fraction