Simplify 6/27

6/27 simplified is 2/9, after dividing the top and bottom by 3.

Result

Answer

\frac{6}{27} = \textcolor{#0b5c56}{\frac{2}{9}}

6/27 simplifies to 2/9.

  • Greatest common factor: 3
  • Decimal: \displaystyle 0.\overline{2} (the 2 repeats forever, about 0.2222)
  • Percent: 22.22%
6/272/9

Same amount, fewer parts

Step-by-step solution

The problem

\frac{6}{27}

  1. Find the greatest common factor. List the factors of each:
    Factors of 6: 1, 2, 3, 6
    Factors of 27: 1, 3, 9, 27
    The greatest common factor (GCF) is 3.

    \text{GCF}(6, 27) = 3

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

    = \frac{6 \div 3}{27 \div 3} = \textcolor{#0b5c56}{\frac{2}{9}}

All the working together

\begin{aligned} &\frac{6}{27} \\[8pt] &= \frac{6 \div 3}{27 \div 3} && \textcolor{#5b6660}{\textsf{divide by 3}} \\[8pt] &= \textcolor{#0b5c56}{\frac{2}{9}}\end{aligned}

6/27 in other forms

Simplest form2/9
Greatest common factor3
Decimal0.222… (the 2 repeats forever)
Percent≈ 22.22%
Equal fractions4/18, 8/36, 10/45, 12/54

Fractions over 27 simplified

FractionSimplest formDecimal
1/27already simplest0.037…
2/27already simplest0.074…
3/271/90.111…
4/27already simplest0.148…
5/27already simplest0.185…
6/272/90.222…
7/27already simplest0.259…
8/27already simplest0.296…
9/271/30.333…
10/27already simplest0.370…
11/27already simplest0.407…
12/274/90.444…
13/27already simplest0.481…
14/27already simplest0.518…
15/275/90.555…
16/27already simplest0.592…
17/27already simplest0.629…
18/272/30.666…
19/27already simplest0.703…
20/27already simplest0.740…
21/277/90.777…
22/27already simplest0.814…
23/27already simplest0.851…
24/278/90.888…
25/27already simplest0.925…
26/27already simplest0.962…

Frequently asked questions

What is 6/27 in simplest form?

6/27 simplifies to 2/9. Divide the top and bottom by 3, their greatest common factor: 6 ÷ 3 = 2 and 27 ÷ 3 = 9.

What is the greatest common factor of 6 and 27?

The GCF of 6 and 27 is 3 – the biggest number that divides both with nothing left over.

Is 6/27 equal to 2/9?

Yes. Both are 0.222… (≈ 22.22%). 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.