Fraction to decimal converter
Decimals are easier to compare, add up on a calculator, or enter into a spreadsheet than fractions — which is why measurements, test scores and recipe amounts often need converting. This tool turns any fraction — proper (3/8), improper (11/4) or mixed (2 3/4) — into its exact decimal value, and shows the simplified fraction too.
How it works
A fraction is just a division, so the converter divides the numerator by the denominator. For a mixed number it converts the fractional part the same way and adds the whole-number part on top. If the fraction can be reduced, it also shows the simplified form (found via the greatest common divisor). The result is exact where the decimal terminates, and rounded for repeating decimals such as 1/3.
Examples
Convert 2 3/4 (a mixed number): the fractional part 3/4 = 3 ÷ 4 = 0.75, then add the whole part: 2 + 0.75 = 2.75. Convert the improper fraction 11/4: 11 ÷ 4 = 2.75 — the same value, since 11/4 equals 2 3/4.
Quick-reference table
| Fraction | Simplified | Decimal |
|---|---|---|
| 1/2 | 1/2 | 0.5 |
| 1/3 | 1/3 | 0.333… |
| 2/3 | 2/3 | 0.666… |
| 1/4 | 1/4 | 0.25 |
| 3/4 | 3/4 | 0.75 |
| 1/5 | 1/5 | 0.2 |
| 1/8 | 1/8 | 0.125 |
| 3/8 | 3/8 | 0.375 |
| 5/8 | 5/8 | 0.625 |
| 7/8 | 7/8 | 0.875 |
| 2/6 | 1/3 | 0.333… |
| 6/8 | 3/4 | 0.75 |
Why some fractions give repeating decimals
Not all fractions produce a clean terminating decimal. A fraction in its lowest terms terminates as a decimal only when the denominator’s prime factors are limited to 2 and 5 — the prime factors of 10. Denominators that include 3, 7, 11, or other primes produce repeating patterns:
- 1/3 = 0.333… — the 3 in the denominator causes an infinite repeat of 3.
- 1/7 = 0.142857142857… — a 6-digit repeating cycle.
- 1/6 = 0.1666… — the 3 factor in 6 causes the repeat; the 2 factor contributes the clean 0.1 before it.
When you need an exact representation of a repeating decimal, write it as a fraction — that is always the exact form. The decimal approximation is useful for calculation but loses precision the longer the decimal is truncated.
Common uses
Cooking and baking. Recipe fractions (3/4 cup, 1/3 tsp) sometimes need converting when scaling a recipe up or down and recalculating portions in decimal form.
Woodworking and construction. Imperial measurements like 5/16 inch or 7/32 inch often need to be expressed as decimals for use with a digital caliper that reads in decimal inches, or for entering into CAD software.
Test scores. A score of 17/20 expressed as a decimal (0.85) or percentage (85%) is immediately comparable to other scores without needing a common denominator.
Finance. Interest rates, price-to-earnings ratios, and other financial figures are frequently expressed as fractions in some contexts and decimals in others. Converting between them is a routine calculation.
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