Fraction to Decimal Calculator

Every fraction is a division problem in disguise. The line between numerator and denominator means "divide". 3/8 reads as "three divided by eight", and that division gives 0.375. Long division works for every case; a calculator does it instantly.

The result tells you the same value as the fraction, just written in a different format. 3/8 and 0.375 are the same length, the same weight, the same anything.

If the denominator's prime factors are only 2 and 5, the decimal terminates. 1/2 = 0.5. 1/4 = 0.25. 1/8 = 0.125. 1/10 = 0.1. 1/20 = 0.05.

If the denominator has any other prime factor, the decimal repeats. 1/3 = 0.333… 1/6 = 0.1666… 1/7 = 0.142857142857… Inch fractions always have denominators that are powers of 2 (2, 4, 8, 16, 32, 64), so they always terminate.

Decimal format is faster to type, faster to compare, and faster to plug into spreadsheets, CAD, and calculators. Fractional format is faster to read on a ruler. Most measurement work goes through both formats during a single job: a drawing dimension in decimal becomes a mark on a piece of stock in fractional, and vice versa. See the fractional inch to decimal converter for the inch-specific version.

Divide the numerator by the denominator: 11 ÷ 32 = 0.34375. There is no simplification step needed here, since a fraction-to-decimal conversion is just division; simplifying only matters when you go the other way, from decimal back to fraction.

In inch terms, 11/32" equals 0.34375" or 8.73125 mm (0.34375 × 25.4). That places it between the 5/16" mark (0.3125", 7.9375 mm) and the 3/8" mark (0.375", 9.525 mm) on a standard ruler, which is why 11/32" only appears on finer machinist's scales and not on most carpentry tape measures.

A mixed number like 2 3/8 converts in two steps: convert the fractional part to decimal, then add the whole number. 3/8 equals 0.375, so 2 3/8 equals 2 + 0.375 = 2.375. The same approach works for any mixed number, including inch-and-fraction measurements read straight off a tape measure.

For dedicated mixed-number handling, including converting the other direction from decimal back into a whole number plus fraction, use the mixed number converter. For inch fractions specifically simplified against a fixed set of denominators (8, 16, 32, 64), the decimal to fraction calculator and the equivalent fractions chart are the faster tools.