# How do you write the degree measure over 360 to find the fraction of the circle given 270^circ?

Feb 28, 2018

See a solution process below:

#### Explanation:

We can write the fraction as:

${270}^{o} / {360}^{o}$

We can then reduce this fraction as:

$\frac{27 {\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{0}}}}^{\textcolor{red}{\cancel{\textcolor{b l a c k}{o}}}}}{36 {\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{0}}}}^{\textcolor{red}{\cancel{\textcolor{b l a c k}{o}}}}} \implies \frac{27}{36} = \frac{9 \times 3}{9 \times 4} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{9}}} \times 3}{\textcolor{red}{\cancel{\textcolor{b l a c k}{9}}} \times 4} = \frac{3}{4}$

${270}^{o} \text{ is } \frac{3}{4}$ of a circle.