Simplify 2/6

2/6 simplified is 1/3, after dividing the top and bottom by 2.

Result

Answer

\frac{2}{6} = \textcolor{#0b5c56}{\frac{1}{3}}

2/6 simplifies to 1/3.

  • Greatest common factor: 2
  • Decimal: \displaystyle 0.\overline{3} (the 3 repeats forever, about 0.3333)
  • Percent: 33.33%
2/61/3

Same amount, fewer parts

Step-by-step solution

The problem

\frac{2}{6}

  1. Find the greatest common factor. List the factors of each:
    Factors of 2: 1, 2
    Factors of 6: 1, 2, 3, 6
    The greatest common factor (GCF) is 2.

    \text{GCF}(2, 6) = 2

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

    = \frac{2 \div 2}{6 \div 2} = \textcolor{#0b5c56}{\frac{1}{3}}

All the working together

\begin{aligned} &\frac{2}{6} \\[8pt] &= \frac{2 \div 2}{6 \div 2} && \textcolor{#5b6660}{\textsf{divide by 2}} \\[8pt] &= \textcolor{#0b5c56}{\frac{1}{3}}\end{aligned}

2/6 in other forms

Simplest form1/3
Greatest common factor2
Decimal0.333… (the 3 repeats forever)
Percent≈ 33.33%
Equal fractions3/9, 4/12, 5/15, 6/18

Fractions over 6 simplified

FractionSimplest formDecimal
1/6already simplest0.1666…
2/61/30.333…
3/61/20.5
4/62/30.666…
5/6already simplest0.8333…

Frequently asked questions

What is 2/6 in simplest form?

2/6 simplifies to 1/3. Divide the top and bottom by 2, their greatest common factor: 2 ÷ 2 = 1 and 6 ÷ 2 = 3.

What is the greatest common factor of 2 and 6?

The GCF of 2 and 6 is 2 – the biggest number that divides both with nothing left over.

Is 2/6 equal to 1/3?

Yes. Both are 0.333… (≈ 33.33%). 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.