# Express 183 1/3% as a fraction?

Jan 7, 2017

183 1/3%=11/6

#### Explanation:

While a fraction can be converted into percentage by multiplying it by $100$ and adding the symbol %,

if a fraction is given in percentage, we just divide it by $100$

As such 183 1/3%

= (183xx3+1)/3%

= (549+1)/3%=550/3%

= $\frac{550}{3} \times \frac{1}{100}$

= $\frac{11 \cancel{550}}{3} \times \frac{1}{2 \cancel{100}}$

= $\frac{11}{6}$