Simplify 2/10

2/10 simplified is 1/5, after dividing the top and bottom by 2.

Result

Answer

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

2/10 simplifies to 1/5.

  • Greatest common factor: 2
  • Decimal: \displaystyle 0.2
  • Percent: 20%
2/101/5

Same amount, fewer parts

Step-by-step solution

The problem

\frac{2}{10}

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

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

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

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

All the working together

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

2/10 in other forms

Simplest form1/5
Greatest common factor2
Decimal0.2
Percent20%
Equal fractions3/15, 4/20, 5/25, 6/30

Fractions over 10 simplified

FractionSimplest formDecimal
1/10already simplest0.1
2/101/50.2
3/10already simplest0.3
4/102/50.4
5/101/20.5
6/103/50.6
7/10already simplest0.7
8/104/50.8
9/10already simplest0.9

Frequently asked questions

What is 2/10 in simplest form?

2/10 simplifies to 1/5. Divide the top and bottom by 2, their greatest common factor: 2 ÷ 2 = 1 and 10 ÷ 2 = 5.

What is the greatest common factor of 2 and 10?

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

Is 2/10 equal to 1/5?

Yes. Both are 0.2 (20%). 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.