Converting fractions to decimals

To convert a fraction to a decimal, you need to use written division methods to divide the numerator by the denominator.

Example

Convert \frac{3}{8}\: into a decimal.

Divide 3 by 8.

8 is bigger than 3, so the division will go into decimal places. Make sure you keep the decimal points in line. Placeholder zeros will help you complete the calculation.

Example of long division (3 / 8)

\frac{3}{8}\: = 3 \div 8 = 0.375

curriculum-key-fact
To convert a fraction to a percentage, first convert the fraction to a decimal, then convert the decimal to a percentage.