Question

How i do 46 2/3% of 28

Answer 1

28  -  100%
x  -  46 $\frac{2}{3}$

28 : 100 = х : 46 $\frac{2}{3}$
х = 46 $\frac{2}{3}$ * 28 : 100
x = 13 $\frac{1}{5}$ - the answer.

Answer 2

Step 1

convert mixed number to an improper fraction

$46\frac{2}{3}\%= \frac{46*3+2}{3}= \frac{140}{3}\%$

Step 2

we know that

$28$ represent the $100\%$

so

by proportion find the $\frac{140}{3}\%$

$\frac{28}{100}= \frac{x}{(140/3)} \\\\100*x=28*(140/3) \\ \\x=\frac{28}{100} \frac{140}{3} \\ \\x=13.0666$

Convert to a mixed number

$13.0666..=13+0.066..=13+\frac{2}{30}=13\frac{2}{30}=13\frac{1}{15}$

therefore

the answer is

$13\frac{1}{15}$