Question

explain how you can use multiplication to find the quotient 3/5 divided by 3/15. then evaluate the expression

Answer 1

we  know that

Dividing is the opposite of multiplying. Therefore, dividing by a fraction can be accomplished by multiplying by its reciprocal

so

$\frac{\frac{a}{b}}{\frac{c}{d}} =\frac{a}{b}*\frac{d}{c}$

in this problem we have

$\frac{a}{b}=\frac{3}{5}\\ \\\frac{c}{d}=\frac{3}{15}$

substitute in the formula above

$\frac{\frac{3}{5}}{\frac{3}{15}} =\frac{3}{5}*\frac{15}{3}=3$

therefore

the answer is

$3$

Answer 2

$\frac{3}{5}$ ÷ $\frac{3}{15}$

⇒$\frac{3}{5}$ × $\frac{15}{3} = \frac{45}{15} = 3$