Question

Divide 7/15 by 3/5

A. 7/9
B. 75/21
C. 21/75
D. 7/25

Answer 1

`(7)/(15) / (3)/(5)=(7)/(15) * (5)/(3)=(7)/(3 * \\ot5) * (\\ot 5)/(3)=(7)/(3 * 3)=(7)/(9) \Rightarrow \hbox{the answer is A}`

Answer 2

7/15 ÷ 3/5 =
= 7/15 * 5/3 =
= 7/3 * 1/3 = (after simplifying)
= 7/9

Correct answer: A

Just keep in mind that dividing one fraction by another fraction is as much as multiplying the same fraction by an inverse of the second one.