Simplify 10/14

10/14 simplified is 5/7, after dividing the top and bottom by 2.

Result

Answer

\frac{10}{14} = \textcolor{#0b5c56}{\frac{5}{7}}

10/14 simplifies to 5/7.

  • Greatest common factor: 2
  • Decimal: \displaystyle 0.\overline{714285} (the 714285 repeats forever, about 0.7143)
  • Percent: 71.43%
10/145/7

Same amount, fewer parts

Step-by-step solution

The problem

\frac{10}{14}

  1. Find the greatest common factor. List the factors of each:
    Factors of 10: 1, 2, 5, 10
    Factors of 14: 1, 2, 7, 14
    The greatest common factor (GCF) is 2.

    \text{GCF}(10, 14) = 2

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

    = \frac{10 \div 2}{14 \div 2} = \textcolor{#0b5c56}{\frac{5}{7}}

All the working together

\begin{aligned} &\frac{10}{14} \\[8pt] &= \frac{10 \div 2}{14 \div 2} && \textcolor{#5b6660}{\textsf{divide by 2}} \\[8pt] &= \textcolor{#0b5c56}{\frac{5}{7}}\end{aligned}

10/14 in other forms

Simplest form5/7
Greatest common factor2
Decimal0.714285… (the 714285 repeats forever)
Percent≈ 71.43%
Equal fractions15/21, 20/28, 25/35, 30/42

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 10/14 in simplest form?

10/14 simplifies to 5/7. Divide the top and bottom by 2, their greatest common factor: 10 ÷ 2 = 5 and 14 ÷ 2 = 7.

What is the greatest common factor of 10 and 14?

The GCF of 10 and 14 is 2 – the biggest number that divides both with nothing left over.

Is 10/14 equal to 5/7?

Yes. Both are 0.714285… (≈ 71.43%). 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.