# How do you simplify the fraction 10/14?

Dec 3, 2016

$\frac{5}{7}$

#### Explanation:

In order to do this, we first need to find the greatest common divisor between the numerator and the denominator.

To do this, we can first find all the multiples of 10 and 14

10:$\to 1 , 2 , 5 , 10$
14:$\to 1 , 2 , 7 , 14$

We see here that the greatest common divisor between the two integers is 2. Then we can divide, or reduce, the two numbers.

Because $\frac{10}{2} = 5$ and $\frac{14}{2} = 7$, we get:

$\frac{10}{14} \to \frac{5}{7}$