0.15625 as a fraction

Fraction5/32lowest terms
Decimal0.15625
Percent15.625%

How to get there

  1. 0.15625 has 5 digits after the point, so it is that many ten-to-the-5 parts: write the digits over 100,00015,625/100,000.
  2. 15,625 and 100,000 share a greatest common divisor of 3,125. Divide both by it: 5/32.

5 of 32 equal parts filled.

As a measurement

Read as inches, 0.15625″ is 3.96875 mm exactly. The nearest marks on a rule:

RuleNearest markInchesmmDifference
16ths3/16″0.18754.7625+0.7938 mm
32ths5/32″0.156253.9688exact
64ths5/32″0.156253.9688exact

Common questions

What is 0.15625 as a fraction?
0.15625 as a fraction is 5/32. Write the digits over 100,000 to get 15,625/100,000, then divide top and bottom by 3,125.
What is 0.15625 as a percentage?
0.15625 is 15.625%. Multiplying a decimal by 100 moves the point two places to the right.
How many millimetres is 0.15625 of an inch?
0.15625 inches is 3.96875 mm, using the exact definition 1 inch = 25.4 mm.

The same number, other ways

5/32Everything about the fraction: equivalents, the bar model, the number line.15.625%The same value as a percentage, with its own derivation.Decimal → fraction chartThe whole lookup table, printable.Nearest fractionMatch 0.15625″ 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.