explain how you can use multiplication to find the quotient 3/5 divided by 3/15. then evaluate the expression
\(\frac{3}{5}\) ÷ \(\frac{3}{15}\)
⇒\(\frac{3}{5}\) × \(\frac{15}{3} = \frac{45}{15} = 3\)
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
\(3\)