Fraction ↔ Decimal Conversion

Fraction to Decimal

Divide the numerator by the denominator

• 3/4 → 3 ÷ 4 = 0.75
• 1/3 → 1 ÷ 3 = 0.333... (repeating)

Decimal to Fraction

1. Count decimal places 2. Write as fraction over power of 10 3. Simplify

Examples:

• $0.6 = \frac{6}{10} = \frac{3}{5}$
• $0.25 = \frac{25}{100} = \frac{1}{4}$
• $0.125 = \frac{125}{1000} = \frac{1}{8}$

Types of Decimals

• Terminating: Ends ($0.5$, $0.75$)
• Repeating: Pattern repeats forever ($0.333...$, $0.142857142857...$)