Simplify 10/22

10/22 simplified is 5/11, after dividing the top and bottom by 2.

Result

Answer

\frac{10}{22} = \textcolor{#0b5c56}{\frac{5}{11}}

10/22 simplifies to 5/11.

  • Greatest common factor: 2
  • Decimal: \displaystyle 0.\overline{45} (the 45 repeats forever, about 0.4545)
  • Percent: 45.45%
10/225/11

Same amount, fewer parts

Step-by-step solution

The problem

\frac{10}{22}

  1. Find the greatest common factor. List the factors of each:
    Factors of 10: 1, 2, 5, 10
    Factors of 22: 1, 2, 11, 22
    The greatest common factor (GCF) is 2.

    \text{GCF}(10, 22) = 2

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

    = \frac{10 \div 2}{22 \div 2} = \textcolor{#0b5c56}{\frac{5}{11}}

All the working together

\begin{aligned} &\frac{10}{22} \\[8pt] &= \frac{10 \div 2}{22 \div 2} && \textcolor{#5b6660}{\textsf{divide by 2}} \\[8pt] &= \textcolor{#0b5c56}{\frac{5}{11}}\end{aligned}

10/22 in other forms

Simplest form5/11
Greatest common factor2
Decimal0.4545… (the 45 repeats forever)
Percent≈ 45.45%
Equal fractions15/33, 20/44, 25/55, 30/66

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 10/22 in simplest form?

10/22 simplifies to 5/11. Divide the top and bottom by 2, their greatest common factor: 10 ÷ 2 = 5 and 22 ÷ 2 = 11.

What is the greatest common factor of 10 and 22?

The GCF of 10 and 22 is 2 – the biggest number that divides both with nothing left over.

Is 10/22 equal to 5/11?

Yes. Both are 0.4545… (≈ 45.45%). 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.