Fraction to Decimal Calculator

Method 1: Simple Division

Divide the numerator by the denominator:

$\frac{3}{4} = 3 \div 4 = 0.75$

Method 2: Long Division

1. Set up division: numerator ÷ denominator
2. Perform long division step by step
3. Add decimal point and zeros as needed
4. Continue until remainder is 0 or pattern repeats

Terminating Decimals

Some fractions result in decimals that end, like 1/4 = 0.25. This happens when the denominator only has factors of 2 and 5.

Repeating Decimals

Fractions like 1/3 = 0.333... have repeating patterns. We show this as 0.(3) where the parentheses indicate the repeating part.

Mixed Numbers

For mixed numbers like 2 1/3, first convert to improper fraction: (2 × 3 + 1)/3 = 7/3, then divide: 7 ÷ 3 = 2.333...