0.15 as a Fraction

0.15 as a fraction3/20
Fraction
3/20
Percent
15%

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

0.15 = 3/20

0.15 as a fraction in simplest form is 3/20.

Step by step

  1. 0.15 has 2 decimal places, so write it over 100: 15/100.
  2. Find the greatest common divisor of 15 and 100: 5.
  3. Divide the top and bottom by 5: 15 ÷ 5 = 3, 100 ÷ 5 = 20.
  4. So 0.15 = 3/20.

Details

Fraction
3/20
Percent
15%
Nearest 1/16 (tape measure)
1/8
Reciprocal
20/3 ≈ 6.6667

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
0.123/25
0.1251/8
0.1313/100
0.147/50
0.153/20
0.164/25
0.1717/100
0.189/50
0.18753/16

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Frequently asked questions

What is 0.15 as a fraction?

0.15 is 3/20 in simplest form.

How do you convert 0.15 to a fraction?

Write 0.15 as 15/100, then divide the top and bottom by 5 to get 3/20.

What is 0.15 as a percentage?

0.15 × 100 = 15%.

Is 3/20 in simplest form?

Yes — 3 and 20 have no common factor other than 1.

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