Question 82b20

Nov 16, 2017

6 1/4% = 1/16

Explanation:

Because a percentage is measured in a number per $100$, we can write this number as a whole fraction by dividing it by $100$.

6 1/4% = (6 1/4)/100

Transferring the mixed number into an improper fraction for division

color(blue)(6 1/4 = (6 xx 4 + 1)/4

color(blue)(6 1/4 = 25/4

25/4 ÷ 100/1

finding reciprocal and transferring from division to multiplication

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{25}} 1}}{4} \times \frac{1}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}} 4}}$

$\frac{1}{4} \times \frac{1}{4}$

6 1/4% = 1/16#