Simplify 6/9

6/9 simplified is 2/3, after dividing the top and bottom by 3.

Result

Answer

\frac{6}{9} = \textcolor{#0b5c56}{\frac{2}{3}}

6/9 simplifies to 2/3.

  • Greatest common factor: 3
  • Decimal: \displaystyle 0.\overline{6} (the 6 repeats forever, about 0.6667)
  • Percent: 66.67%
6/92/3

Same amount, fewer parts

Step-by-step solution

The problem

\frac{6}{9}

  1. Find the greatest common factor. List the factors of each:
    Factors of 6: 1, 2, 3, 6
    Factors of 9: 1, 3, 9
    The greatest common factor (GCF) is 3.

    \text{GCF}(6, 9) = 3

  2. Divide the top and bottom by 3. Dividing both by the same number keeps the value the same.

    = \frac{6 \div 3}{9 \div 3} = \textcolor{#0b5c56}{\frac{2}{3}}

All the working together

\begin{aligned} &\frac{6}{9} \\[8pt] &= \frac{6 \div 3}{9 \div 3} && \textcolor{#5b6660}{\textsf{divide by 3}} \\[8pt] &= \textcolor{#0b5c56}{\frac{2}{3}}\end{aligned}

6/9 in other forms

Simplest form2/3
Greatest common factor3
Decimal0.666… (the 6 repeats forever)
Percent≈ 66.67%
Equal fractions4/6, 8/12, 10/15, 12/18

Fractions over 9 simplified

FractionSimplest formDecimal
1/9already simplest0.111…
2/9already simplest0.222…
3/91/30.333…
4/9already simplest0.444…
5/9already simplest0.555…
6/92/30.666…
7/9already simplest0.777…
8/9already simplest0.888…

Frequently asked questions

What is 6/9 in simplest form?

6/9 simplifies to 2/3. Divide the top and bottom by 3, their greatest common factor: 6 ÷ 3 = 2 and 9 ÷ 3 = 3.

What is the greatest common factor of 6 and 9?

The GCF of 6 and 9 is 3 – the biggest number that divides both with nothing left over.

Is 6/9 equal to 2/3?

Yes. Both are 0.666… (≈ 66.67%). 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.