Simplify 6/8

6/8 simplified is 3/4, after dividing the top and bottom by 2.

Result

Answer

\frac{6}{8} = \textcolor{#0b5c56}{\frac{3}{4}}

6/8 simplifies to 3/4.

  • Greatest common factor: 2
  • Decimal: \displaystyle 0.75
  • Percent: 75%
6/83/4

Same amount, fewer parts

Step-by-step solution

The problem

\frac{6}{8}
  1. Find the greatest common factor. List the factors of each:
    Factors of 6: 1, 2, 3, 6
    Factors of 8: 1, 2, 4, 8
    The greatest common factor (GCF) is 2.

    \text{GCF}(6, 8) = 2
  2. Divide the top and bottom by 2. Dividing both by the same number keeps the value the same.

    = \frac{6 \div 2}{8 \div 2} = \textcolor{#0b5c56}{\frac{3}{4}}

All the working together

\begin{aligned} &\frac{6}{8} \\[8pt] &= \frac{6 \div 2}{8 \div 2} && \textcolor{#5b6660}{\textsf{divide by 2}} \\[8pt] &= \textcolor{#0b5c56}{\frac{3}{4}}\end{aligned}

6/8 in other forms

Simplest form3/4
Greatest common factor2
Decimal0.75
Percent75%
Equal fractions9/12, 12/16, 15/20, 18/24

Fractions over 8 simplified

FractionSimplest formDecimal
1/8already simplest0.125
2/81/40.25
3/8already simplest0.375
4/81/20.5
5/8already simplest0.625
6/83/40.75
7/8already simplest0.875

Frequently asked questions

What is 6/8 in simplest form?

6/8 simplifies to 3/4. Divide the top and bottom by 2, their greatest common factor: 6 ÷ 2 = 3 and 8 ÷ 2 = 4.

What is the greatest common factor of 6 and 8?

The GCF of 6 and 8 is 2 – the biggest number that divides both with nothing left over.

Is 6/8 equal to 3/4?

Yes. Both are 0.75 (75%). 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.