Fraction ⟷ Decimal Calculator

Method 1: Division

Divide the numerator by the denominator

Example: 3/4 = 3 ÷ 4 = 0.75

Method 2: Decimal Places

1. Divide and note the decimal places

2. Look for patterns in repeating decimals

Example: 1/3 = 0.333... (repeating)

For Terminating Decimals:

1. Multiply by powers of 10 to remove decimal

2. Write as a fraction over that power of 10

3. Simplify if possible

Example: 0.75 = 75/100 = 3/4

For Repeating Decimals:

1. Identify the repeating part

2. Use algebraic method to convert

Example: 0.333... = 1/3

Note: Some fractions result in repeating decimals (indicated by ...)