Question

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

Answer 1

`(3)/(5)` ÷
`(3)/(15)`

⇒
`(3)/(5)` ×
`(15)/(3) = (45)/(15) = 3`

Answer 2

we know that

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

so

`((a)/(b))/((c)/(d)) =(a)/(b)*(d)/(c)`

in this problem we have

`(a)/(b)=(3)/(5)\\ \\(c)/(d)=(3)/(15)`

substitute in the formula above

`((3)/(5))/((3)/(15)) =(3)/(5)*(15)/(3)=3`

therefore

the answer is

`3`