0.078125 as a fraction

Fraction5/64lowest terms
Decimal0.078125
Percent7.8125%

How to get there

  1. 0.078125 has 6 digits after the point, so it is that many ten-to-the-6 parts: write the digits over 1,000,00078,125/1,000,000.
  2. 78,125 and 1,000,000 share a greatest common divisor of 15,625. Divide both by it: 5/64.

5 of 64 equal parts filled.

As a measurement

Read as inches, 0.078125″ is 1.984375 mm exactly. The nearest marks on a rule:

RuleNearest markInchesmmDifference
16ths1/16″0.06251.5875−0.3969 mm
32ths3/32″0.093752.3813+0.3969 mm
64ths5/64″0.0781251.9844exact

Common questions

What is 0.078125 as a fraction?
0.078125 as a fraction is 5/64. Write the digits over 1,000,000 to get 78,125/1,000,000, then divide top and bottom by 15,625.
What is 0.078125 as a percentage?
0.078125 is 7.8125%. Multiplying a decimal by 100 moves the point two places to the right.
How many millimetres is 0.078125 of an inch?
0.078125 inches is 1.984375 mm, using the exact definition 1 inch = 25.4 mm.

The same number, other ways

5/64Everything about the fraction: equivalents, the bar model, the number line.7.8125%The same value as a percentage, with its own derivation.Decimal → fraction chartThe whole lookup table, printable.Nearest fractionMatch 0.078125″ 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.