Converting Fractions to Decimals
Converting a fraction to a decimal is straightforward: divide the numerator by the denominator. This converts the fraction into base-10 notation.
Formula
Decimal = Numerator / Denominator
Types of Decimal Results
- Terminating: Ends after a finite number of digits (1/4 = 0.25)
- Repeating: Has a pattern that repeats infinitely (1/3 = 0.333...)
Examples
Example 1: 3/4 to decimal
3 / 4 = 0.75
Example 2: 5/8 to decimal
5 / 8 = 0.625
Example 3: 1/3 to decimal
1 / 3 = 0.333... (repeating)
Common Conversions
- 1/2 = 0.5
- 1/4 = 0.25
- 3/4 = 0.75
- 1/5 = 0.2
- 1/8 = 0.125
- 1/10 = 0.1
When to Use Each Format
Use fractions for exact values and easier mental math. Use decimals for calculations, measurements, and when precision to a certain decimal place is needed.
Quick Tips
- Double-check your inputs for accurate results
- Use parentheses to clarify order of operations
- Results are rounded — consider significant figures
Frequently Asked Questions
Divide the numerator by the denominator.
3/4 = 0.75
1/3 = 0.333... (repeating)
No, some have repeating decimals that go on infinitely.
1/2 = 0.5