Feb 20, 2017

We can rewrite $0.35$ as $\frac{35}{100}$.

Then we can rewrite this expression as:

$\frac{\frac{8}{15}}{\frac{35}{100}}$

We can now use this rule for dividing fractions to calculate the value of the expression:

$\frac{\frac{\textcolor{red}{a}}{\textcolor{b l u e}{b}}}{\frac{\textcolor{g r e e n}{c}}{\textcolor{p u r p \le}{d}}} = \frac{\textcolor{red}{a} \times \textcolor{p u r p \le}{d}}{\textcolor{b l u e}{b} \times \textcolor{g r e e n}{c}}$

$\frac{\frac{\textcolor{red}{8}}{\textcolor{b l u e}{15}}}{\frac{\textcolor{g r e e n}{35}}{\textcolor{p u r p \le}{100}}} = \frac{\textcolor{red}{8} \times \textcolor{p u r p \le}{100}}{\textcolor{b l u e}{15} \times \textcolor{g r e e n}{35}} = \frac{800}{525} = \frac{25 \times 32}{25 \times 21} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{25}}} \times 32}{\textcolor{red}{\cancel{\textcolor{b l a c k}{25}}} \times 21} = \frac{32}{21}$

Or

$1.524$ rounded to the nearest thousandth