0.22 as a Fraction

0.22 as a fraction is 11/50 in simplest form, which is 22%.

Result

Answer

0.22 = \textcolor{#0b5c56}{\frac{11}{50}}

0.22 as a fraction is 11/50.

  • Percent: 22%
0111/50

Step-by-step solution

The problem

0.22

  1. Write the digits over 100. 0.22 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{22}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 22 &= 2 \times 11 \\[6pt] 100 &= 2^{2} \times 5^{2} \end{aligned}The only factor they share is 2, so the greatest common factor (GCF) is 2. Divide the top and bottom by 2.

    = \frac{22 \div 2}{100 \div 2} = \textcolor{#0b5c56}{\frac{11}{50}}

All the working together

\begin{aligned} &0.22 \\[8pt] &= \frac{22}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{22 \div 2}{100 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{11}{50}}\end{aligned}

0.22 in other forms

Fraction (simplest form)11/50
Before simplifying22/100
Percent22%
The other way11/50 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
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%
0.2613/5026%
0.2727/10027%

Frequently asked questions

What is 0.22 as a fraction?

0.22 as a fraction is 11/50. 0.22 has 2 decimal places, so write the digits over 100: 22/100. Divide the top and bottom by 2 (their greatest common factor) to get 11/50.

What is 0.22 as a percent?

0.22 is 22%: multiply by 100 (move the decimal point two places to the right).

Is 11/50 the simplest form?

Yes. 11 and 50 have no common factor other than 1, because the greatest common factor 2 was divided out of 22/100.

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.