Simplify 6/14

6/14 simplified is 3/7, after dividing the top and bottom by 2.

Result

Answer

\frac{6}{14} = \textcolor{#0b5c56}{\frac{3}{7}}

6/14 simplifies to 3/7.

  • Greatest common factor: 2
  • Decimal: \displaystyle 0.\overline{428571} (the 428571 repeats forever, about 0.4286)
  • Percent: 42.86%
6/143/7

Same amount, fewer parts

Step-by-step solution

The problem

\frac{6}{14}

  1. Find the greatest common factor. List the factors of each:
    Factors of 6: 1, 2, 3, 6
    Factors of 14: 1, 2, 7, 14
    The greatest common factor (GCF) is 2.

    \text{GCF}(6, 14) = 2

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

    = \frac{6 \div 2}{14 \div 2} = \textcolor{#0b5c56}{\frac{3}{7}}

All the working together

\begin{aligned} &\frac{6}{14} \\[8pt] &= \frac{6 \div 2}{14 \div 2} && \textcolor{#5b6660}{\textsf{divide by 2}} \\[8pt] &= \textcolor{#0b5c56}{\frac{3}{7}}\end{aligned}

6/14 in other forms

Simplest form3/7
Greatest common factor2
Decimal0.428571… (the 428571 repeats forever)
Percent≈ 42.86%
Equal fractions9/21, 12/28, 15/35, 18/42

Fractions over 14 simplified

FractionSimplest formDecimal
1/14already simplest0.0714285…
2/141/70.142857…
3/14already simplest0.2142857…
4/142/70.285714…
5/14already simplest0.3571428…
6/143/70.428571…
7/141/20.5
8/144/70.571428…
9/14already simplest0.6428571…
10/145/70.714285…
11/14already simplest0.7857142…
12/146/70.857142…
13/14already simplest0.9285714…

Frequently asked questions

What is 6/14 in simplest form?

6/14 simplifies to 3/7. Divide the top and bottom by 2, their greatest common factor: 6 ÷ 2 = 3 and 14 ÷ 2 = 7.

What is the greatest common factor of 6 and 14?

The GCF of 6 and 14 is 2 – the biggest number that divides both with nothing left over.

Is 6/14 equal to 3/7?

Yes. Both are 0.428571… (≈ 42.86%). 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.