2/5 of Abel's books are equal to 4/7 of Bella's books. What is the ratio of Abel's books to Bella's books?

Question

2/5 of Abel's books are equal to 4/7 of Bella's books. What is the ratio of Abel's books to Bella's books?

Answer 1

(2/5)A = (4/7)B

A/B = (4/7)/(2/5) = (4/7)(5/2) = 10/7

 

A:B = 10:7

Answer 2

A: Abel's books
B: Bella's Books

(2/5)A = (4/7)B
(5/2)(2/5)A = (5/2)(4/7)B  __________multiply both sides by 5/2
A =(10/7)B
A/B = 10/7                         __________ divide by B to both side
The ratio of Abel's books to Bella's Books is 10:7