Simplify 10/15

10/15 simplified is 2/3, after dividing the top and bottom by 5.

Result

Answer

\frac{10}{15} = \textcolor{#0b5c56}{\frac{2}{3}}

10/15 simplifies to 2/3.

  • Greatest common factor: 5
  • Decimal: \displaystyle 0.\overline{6} (the 6 repeats forever, about 0.6667)
  • Percent: 66.67%
10/152/3

Same amount, fewer parts

Step-by-step solution

The problem

\frac{10}{15}

  1. Find the greatest common factor. List the factors of each:
    Factors of 10: 1, 2, 5, 10
    Factors of 15: 1, 3, 5, 15
    The greatest common factor (GCF) is 5.

    \text{GCF}(10, 15) = 5

  2. Divide the top and bottom by 5. Dividing both by the same number keeps the value the same.

    = \frac{10 \div 5}{15 \div 5} = \textcolor{#0b5c56}{\frac{2}{3}}

All the working together

\begin{aligned} &\frac{10}{15} \\[8pt] &= \frac{10 \div 5}{15 \div 5} && \textcolor{#5b6660}{\textsf{divide by 5}} \\[8pt] &= \textcolor{#0b5c56}{\frac{2}{3}}\end{aligned}

10/15 in other forms

Simplest form2/3
Greatest common factor5
Decimal0.666… (the 6 repeats forever)
Percent≈ 66.67%
Equal fractions4/6, 6/9, 8/12, 12/18

Fractions over 15 simplified

FractionSimplest formDecimal
1/15already simplest0.0666…
2/15already simplest0.1333…
3/151/50.2
4/15already simplest0.2666…
5/151/30.333…
6/152/50.4
7/15already simplest0.4666…
8/15already simplest0.5333…
9/153/50.6
10/152/30.666…
11/15already simplest0.7333…
12/154/50.8
13/15already simplest0.8666…
14/15already simplest0.9333…

Frequently asked questions

What is 10/15 in simplest form?

10/15 simplifies to 2/3. Divide the top and bottom by 5, their greatest common factor: 10 ÷ 5 = 2 and 15 ÷ 5 = 3.

What is the greatest common factor of 10 and 15?

The GCF of 10 and 15 is 5 – the biggest number that divides both with nothing left over.

Is 10/15 equal to 2/3?

Yes. Both are 0.666… (≈ 66.67%). 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.