Question

Maria has finished $80\%$ of her classwork.

Express her percentage of finished classwork as a fraction in the simplest form.

• A. $\frac{3}{5}$
• B. $\frac{1}{4}$
• C. $\frac{2}{5}$
• D. $\frac{4}{5}$

Answer 1

The correct option is D $\frac{4}{5}$

Let's convert $80\%$ to a fraction.

$\because$ A percent is 1 part out of 100.
$\Rightarrow 1\%=\frac{1}{100}$
$\therefore 80\%=80\times \frac{1}{100}=\frac{80}{1}\times \frac{1}{100}=\frac{80\times 1}{1\times 100}=\frac{80}{100}$

Simplifying the fraction, we get
$\frac{80}{100}=\frac{2\times 2\times 4\times 5}{2\times 2\times 5\times 5}$
Cancel out the common factors, we get
$=\frac{4}{5}$
So, Maria has finished $\frac{4}{5}$ of her homework.