0.13 as a Fraction

0.13 as a fraction13/100
Fraction
13/100
Percent
13%
Closest simple fraction
3/23 (≈ 0.130435)

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

0.13 = 13/100

0.13 as a fraction in simplest form is 13/100.

Step by step

  1. 0.13 has 2 decimal places, so write it over 100: 13/100.
  2. Find the greatest common divisor of 13 and 100: 1.
  3. Divide the top and bottom by 1: 13 ÷ 1 = 13, 100 ÷ 1 = 100.
  4. So 0.13 = 13/100.

Details

Fraction
13/100
Percent
13%
Nearest 1/16 (tape measure)
1/8
Reciprocal
100/13 ≈ 7.6923

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
0.099/100
0.11/10
0.1111/100
0.123/25
0.1251/8
0.1313/100
0.147/50
0.153/20
0.164/25

Related conversions

Frequently asked questions

What is 0.13 as a fraction?

0.13 is 13/100 in simplest form.

How do you convert 0.13 to a fraction?

Write 0.13 as 13/100, then divide the top and bottom by 1 to get 13/100.

What is 0.13 as a percentage?

0.13 × 100 = 13%.

Is 13/100 in simplest form?

Yes — 13 and 100 have no common factor other than 1.

Related tools