Fraction to Decimal Calculator Formula
Understand the math behind the fraction to decimal calculator. Each variable explained with a worked example.
Formulas Used
Decimal Value
decimal_value = numerator / denominatorPercentage Value
percentage_value = (numerator / denominator) * 100Variables
| Variable | Description | Default |
|---|---|---|
numerator | Numerator | 3 |
denominator | Denominator | 8 |
How It Works
How to Convert a Fraction to a Decimal
Formula
Decimal = Numerator ÷ Denominator
Simply divide the top number by the bottom number. For example, 3/8 = 3 ÷ 8 = 0.375.
Worked Example
Convert 3/8 to a decimal.
- 01Decimal = 3 ÷ 8
- 02= 0.375
- 03As a percentage: 0.375 × 100 = 37.5%
Frequently Asked Questions
How do I convert a fraction to a decimal?
Divide the numerator (top number) by the denominator (bottom number). For example, 1/4 = 1 ÷ 4 = 0.25.
Do all fractions convert to terminating decimals?
No. Some fractions produce repeating decimals. For example, 1/3 = 0.33333... (repeating). A fraction produces a terminating decimal only if the denominator has no prime factors other than 2 and 5.
Learn More
Guide
Understanding Fractions and Decimals - Complete Guide
Learn how fractions and decimals work, how to convert between them, and how to perform arithmetic operations. Includes simplification, comparison, and practical tips.
Ready to run the numbers?
Open Fraction to Decimal Calculator