Simplify 6/26

6/26 simplified is 3/13, after dividing the top and bottom by 2.

Result

Answer

\frac{6}{26} = \textcolor{#0b5c56}{\frac{3}{13}}

6/26 simplifies to 3/13.

  • Greatest common factor: 2
  • Decimal: \displaystyle 0.\overline{230769} (the 230769 repeats forever, about 0.2308)
  • Percent: 23.08%
6/263/13

Same amount, fewer parts

Step-by-step solution

The problem

\frac{6}{26}

  1. Find the greatest common factor. List the factors of each:
    Factors of 6: 1, 2, 3, 6
    Factors of 26: 1, 2, 13, 26
    The greatest common factor (GCF) is 2.

    \text{GCF}(6, 26) = 2

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

    = \frac{6 \div 2}{26 \div 2} = \textcolor{#0b5c56}{\frac{3}{13}}

All the working together

\begin{aligned} &\frac{6}{26} \\[8pt] &= \frac{6 \div 2}{26 \div 2} && \textcolor{#5b6660}{\textsf{divide by 2}} \\[8pt] &= \textcolor{#0b5c56}{\frac{3}{13}}\end{aligned}

6/26 in other forms

Simplest form3/13
Greatest common factor2
Decimal0.230769… (the 230769 repeats forever)
Percent≈ 23.08%
Equal fractions9/39, 12/52, 15/65, 18/78

Fractions over 26 simplified

FractionSimplest formDecimal
1/26already simplest0.0384615…
2/261/130.076923…
3/26already simplest0.1153846…
4/262/130.153846…
5/26already simplest0.1923076…
6/263/130.230769…
7/26already simplest0.2692307…
8/264/130.307692…
9/26already simplest0.3461538…
10/265/130.384615…
11/26already simplest0.4230769…
12/266/130.461538…
13/261/20.5
14/267/130.538461…
15/26already simplest0.5769230…
16/268/130.615384…
17/26already simplest0.6538461…
18/269/130.692307…
19/26already simplest0.7307692…
20/2610/130.769230…
21/26already simplest0.8076923…
22/2611/130.846153…
23/26already simplest0.8846153…
24/2612/130.923076…
25/26already simplest0.9615384…

Frequently asked questions

What is 6/26 in simplest form?

6/26 simplifies to 3/13. Divide the top and bottom by 2, their greatest common factor: 6 ÷ 2 = 3 and 26 ÷ 2 = 13.

What is the greatest common factor of 6 and 26?

The GCF of 6 and 26 is 2 – the biggest number that divides both with nothing left over.

Is 6/26 equal to 3/13?

Yes. Both are 0.230769… (≈ 23.08%). 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.