# How do you simplify the fraction 14/24?

Nov 27, 2016

$\frac{7}{12}$

#### Explanation:

Simplify by finding common factors in the numerator and denominator. Let's start by listing the factors:

$14 = 1 , \textcolor{g r e e n}{2} , 7 , 14$

$24 = 1 , \textcolor{g r e e n}{2} , 3 , 4 , 6 , 8 , 12 , 24$

Now find a common factor. The largest common factor is $\textcolor{g r e e n}{2}$. Divide $\textcolor{g r e e n}{2}$ from the numerator and denominator.

$\frac{14}{24}$

$\frac{14 \div i \mathrm{de} \textcolor{g r e e n}{2}}{24 \div i \mathrm{de} \textcolor{g r e e n}{2}}$

$\frac{7}{12}$

This is our simplified fraction. If you wanted to check your answer, you would repeat the process (list the factors in the numerator and denominator and divide each by the largest factor).