Fraction to Decimal Converter
The Simplest Conversion in Arithmetic
A fraction is already a division problem in disguise — the numerator divided by the denominator gives the decimal equivalent directly. What makes this calculator useful isn't the difficulty of the math but the precision: it carries the result to six decimal places, which matters for fractions like 1/7 that never terminate and are easy to round incorrectly by hand.
The Formula
decimal = numerator / denominator
Where This Conversion Is Used
- Spreadsheets and data entry — converting fractional measurements into decimal form for calculations that require a single numeric value.
- Engineering drawings — reconciling fractional-inch dimensions with decimal-based CAD systems.
- Grading and scoring — converting a fraction of correct answers (like 17/20) into a decimal or percentage.
| Fraction | Decimal |
|---|---|
| 3/4 | 0.75 |
| 7/8 | 0.875 |
| 22/7 | 3.142857 |
22/7 is a commonly used rational approximation of π, accurate to about two decimal places but not exact — note it differs from π's true value starting at the third decimal.
How to Use This Calculator
- Enter the Numerator.
- Enter the Denominator (cannot be zero).
- Select Calculate to see the decimal equivalent.
Related Calculations
Need to convert a decimal back into a fraction? See the Decimal to Fraction Converter, or perform arithmetic directly on fractions with the Fraction Calculator.