0.2 as a Fraction

0.2 as a fraction1/5
Fraction
1/5
Percent
20%

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

0.2 = 1/5

0.2 as a fraction in simplest form is 1/5.

Step by step

  1. 0.2 has 1 decimal place, so write it over 10: 2/10.
  2. Find the greatest common divisor of 2 and 10: 2.
  3. Divide the top and bottom by 2: 2 ÷ 2 = 1, 10 ÷ 2 = 5.
  4. So 0.2 = 1/5.

Details

Fraction
1/5
Percent
20%
Nearest 1/16 (tape measure)
3/16
Reciprocal
5/1 ≈ 5

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
0.1717/100
0.189/50
0.18753/16
0.1919/100
0.21/5
0.2121/100
0.2211/50
0.2323/100
0.246/25

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Frequently asked questions

What is 0.2 as a fraction?

0.2 is 1/5 in simplest form.

How do you convert 0.2 to a fraction?

Write 0.2 as 2/10, then divide the top and bottom by 2 to get 1/5.

What is 0.2 as a percentage?

0.2 × 100 = 20%.

Is 1/5 in simplest form?

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

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