Simplify 10/16

10/16 simplified is 5/8, after dividing the top and bottom by 2.

Result

Answer

\frac{10}{16} = \textcolor{#0b5c56}{\frac{5}{8}}

10/16 simplifies to 5/8.

  • Greatest common factor: 2
  • Decimal: \displaystyle 0.625
  • Percent: 62.5%
10/165/8

Same amount, fewer parts

Step-by-step solution

The problem

\frac{10}{16}

  1. Find the greatest common factor. List the factors of each:
    Factors of 10: 1, 2, 5, 10
    Factors of 16: 1, 2, 4, 8, 16
    The greatest common factor (GCF) is 2.

    \text{GCF}(10, 16) = 2

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

    = \frac{10 \div 2}{16 \div 2} = \textcolor{#0b5c56}{\frac{5}{8}}

All the working together

\begin{aligned} &\frac{10}{16} \\[8pt] &= \frac{10 \div 2}{16 \div 2} && \textcolor{#5b6660}{\textsf{divide by 2}} \\[8pt] &= \textcolor{#0b5c56}{\frac{5}{8}}\end{aligned}

10/16 in other forms

Simplest form5/8
Greatest common factor2
Decimal0.625
Percent62.5%
Equal fractions15/24, 20/32, 25/40, 30/48

Fractions over 16 simplified

FractionSimplest formDecimal
1/16already simplest0.0625
2/161/80.125
3/16already simplest0.1875
4/161/40.25
5/16already simplest0.3125
6/163/80.375
7/16already simplest0.4375
8/161/20.5
9/16already simplest0.5625
10/165/80.625
11/16already simplest0.6875
12/163/40.75
13/16already simplest0.8125
14/167/80.875
15/16already simplest0.9375

Frequently asked questions

What is 10/16 in simplest form?

10/16 simplifies to 5/8. Divide the top and bottom by 2, their greatest common factor: 10 ÷ 2 = 5 and 16 ÷ 2 = 8.

What is the greatest common factor of 10 and 16?

The GCF of 10 and 16 is 2 – the biggest number that divides both with nothing left over.

Is 10/16 equal to 5/8?

Yes. Both are 0.625 (62.5%). 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.