0.2 as a Fraction

0.2 as a fraction is 1/5 in simplest form, which is 20%.

Result

Answer

0.2 = \textcolor{#0b5c56}{\frac{1}{5}}

0.2 as a fraction is 1/5.

  • Percent: 20%
011/5

Step-by-step solution

The problem

0.2

  1. Write the digits over 10. 0.2 has 1 decimal place, so put the digits (without the point) over 1 followed by 1 zero.

    = \textcolor{#0b5c56}{\frac{2}{10}}

  2. Simplify. List the factors of each:
    Factors of 2: 1, 2
    Factors of 10: 1, 2, 5, 10
    The greatest common factor (GCF) is 2. Divide the top and bottom by 2.

    = \frac{2 \div 2}{10 \div 2} = \textcolor{#0b5c56}{\frac{1}{5}}

All the working together

\begin{aligned} &0.2 \\[8pt] &= \frac{2}{10} && \textcolor{#5b6660}{\textsf{over 10}} \\[8pt] &= \frac{2 \div 2}{10 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{1}{5}}\end{aligned}

0.2 in other forms

Fraction (simplest form)1/5
Before simplifying2/10
Percent20%
The other way1/5 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.153/2015%
0.164/2516%
0.1717/10017%
0.189/5018%
0.1919/10019%
0.21/520%
0.2121/10021%
0.2211/5022%
0.2323/10023%
0.246/2524%
0.251/425%

Frequently asked questions

What is 0.2 as a fraction?

0.2 as a fraction is 1/5. 0.2 has 1 decimal place, so write the digits over 10: 2/10. Divide the top and bottom by 2 (their greatest common factor) to get 1/5.

What is 0.2 as a percent?

0.2 is 20%: multiply by 100 (move the decimal point two places to the right).

Is 1/5 the simplest form?

Yes. 1 and 5 have no common factor other than 1, because the greatest common factor 2 was divided out of 2/10.

More decimals as fractions

Any other decimal, including longer repeating ones: use the Decimal to Fraction Calculator, or look it up on the printable fraction chart.