Simplify 4/22

4/22 simplified is 2/11, after dividing the top and bottom by 2.

Result

Answer

\frac{4}{22} = \textcolor{#0b5c56}{\frac{2}{11}}

4/22 simplifies to 2/11.

  • Greatest common factor: 2
  • Decimal: \displaystyle 0.\overline{18} (the 18 repeats forever, about 0.1818)
  • Percent: 18.18%
4/222/11

Same amount, fewer parts

Step-by-step solution

The problem

\frac{4}{22}

  1. Find the greatest common factor. List the factors of each:
    Factors of 4: 1, 2, 4
    Factors of 22: 1, 2, 11, 22
    The greatest common factor (GCF) is 2.

    \text{GCF}(4, 22) = 2

  2. Divide the top and bottom by 2. Dividing both by the same number keeps the value the same.

    = \frac{4 \div 2}{22 \div 2} = \textcolor{#0b5c56}{\frac{2}{11}}

All the working together

\begin{aligned} &\frac{4}{22} \\[8pt] &= \frac{4 \div 2}{22 \div 2} && \textcolor{#5b6660}{\textsf{divide by 2}} \\[8pt] &= \textcolor{#0b5c56}{\frac{2}{11}}\end{aligned}

4/22 in other forms

Simplest form2/11
Greatest common factor2
Decimal0.1818… (the 18 repeats forever)
Percent≈ 18.18%
Equal fractions6/33, 8/44, 10/55, 12/66

Fractions over 22 simplified

FractionSimplest formDecimal
1/22already simplest0.04545…
2/221/110.0909…
3/22already simplest0.13636…
4/222/110.1818…
5/22already simplest0.22727…
6/223/110.2727…
7/22already simplest0.31818…
8/224/110.3636…
9/22already simplest0.40909…
10/225/110.4545…
11/221/20.5
12/226/110.5454…
13/22already simplest0.59090…
14/227/110.6363…
15/22already simplest0.68181…
16/228/110.7272…
17/22already simplest0.77272…
18/229/110.8181…
19/22already simplest0.86363…
20/2210/110.9090…
21/22already simplest0.95454…

Frequently asked questions

What is 4/22 in simplest form?

4/22 simplifies to 2/11. Divide the top and bottom by 2, their greatest common factor: 4 ÷ 2 = 2 and 22 ÷ 2 = 11.

What is the greatest common factor of 4 and 22?

The GCF of 4 and 22 is 2 – the biggest number that divides both with nothing left over.

Is 4/22 equal to 2/11?

Yes. Both are 0.1818… (≈ 18.18%). Simplifying changes how the fraction is written, not its value.

More fractions to simplify

Any other fraction or mixed number: use the Simplify Fractions Calculator.