0.3125 as a fraction

Fraction5/16lowest terms
Decimal0.3125
Percent31.25%

How to get there

  1. 0.3125 has 4 digits after the point, so it is that many ten-to-the-4 parts: write the digits over 10,0003,125/10,000.
  2. 3,125 and 10,000 share a greatest common divisor of 625. Divide both by it: 5/16.

5 of 16 equal parts filled.

As a measurement

Read as inches, 0.3125″ is 7.9375 mm exactly. The nearest marks on a rule:

RuleNearest markInchesmmDifference
16ths5/16″0.31257.9375exact
32ths5/16″0.31257.9375exact
64ths5/16″0.31257.9375exact

Common questions

What is 0.3125 as a fraction?
0.3125 as a fraction is 5/16. Write the digits over 10,000 to get 3,125/10,000, then divide top and bottom by 625.
What is 0.3125 as a percentage?
0.3125 is 31.25%. Multiplying a decimal by 100 moves the point two places to the right.
How many millimetres is 0.3125 of an inch?
0.3125 inches is 7.9375 mm, using the exact definition 1 inch = 25.4 mm.

The same number, other ways

5/16Everything about the fraction: equivalents, the bar model, the number line.31.25%The same value as a percentage, with its own derivation.Decimal → fraction chartThe whole lookup table, printable.Nearest fractionMatch 0.3125″ against any rule, with the exact error.
Where this comes from. Exact rational arithmetic on the values shown — fractions are pairs of integers until display, and inch–metric conversion uses 25.4 mm to the inch, exact by definition since 1959. See the full methodology.