0.3125 as a Fraction

0.3125 as a fraction5/16
Fraction
5/16
Percent
31.25%

Exact fraction = decimal digits over a power of ten, reduced by the greatest common divisor.

0.3125 = 5/16

0.3125 as a fraction in simplest form is 5/16.

Step by step

  1. 0.3125 has 4 decimal places, so write it over 10000: 3125/10000.
  2. Find the greatest common divisor of 3125 and 10000: 625.
  3. Divide the top and bottom by 625: 3125 ÷ 625 = 5, 10000 ÷ 625 = 16.
  4. So 0.3125 = 5/16.

Details

Fraction
5/16
Percent
31.25%
Nearest 1/16 (tape measure)
5/16
Reciprocal
16/5 ≈ 3.2

How it works

To turn a decimal into a fraction, count the digits after the decimal point, write the digits over 10, 100, 1,000 and so on, then simplify by dividing the numerator and denominator by their greatest common divisor. A decimal that ends (terminates) always converts to an exact fraction; a decimal that repeats forever, such as 0.333…, equals a fraction like 1/3.

Nearby values

DecimalFraction
0.287/25
0.2929/100
0.33/10
0.3131/100
0.31255/16
0.328/25
0.3333/100
0.333333/1000
0.3417/50

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Frequently asked questions

What is 0.3125 as a fraction?

0.3125 is 5/16 in simplest form.

How do you convert 0.3125 to a fraction?

Write 0.3125 as 3125/10000, then divide the top and bottom by 625 to get 5/16.

What is 0.3125 as a percentage?

0.3125 × 100 = 31.25%.

Is 5/16 in simplest form?

Yes — 5 and 16 have no common factor other than 1.

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