# How do you write 80% as a fraction?

May 19, 2018

80%=80/100=8/10 =4/5

May 19, 2018

$\frac{4}{5}$

#### Explanation:

80% is the same thing as $80$ out of $100$, which can be written as a fraction as $\frac{80}{100}$.

However, this can still be simplified, Since both of them are still divisible number. That number we want to divide both numerator and denominator by is called the GCF , or Greatest Common Factor .

First, let's list out the factors of $\textcolor{b l u e}{80}$:
$1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 40 , 80$

Now the factors of $\textcolor{b l u e}{100}$:
$1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100$

Now we find the largest factor of both numbers. That factor is $\textcolor{b l u e}{20}$.

So we divide both numerator by $\textcolor{b l u e}{20}$:
$\frac{80}{100} \textcolor{b l u e}{\div \frac{20}{20}}$

Which equals:
$\frac{4}{5}$

Hope this helps!