Ava and Emily both love reading books. 2/7 of Ava's books is equal to 1/9 of Emily's books. What is the ratio of Ava's to Emily's books? (Express your answer in the simplest form)
Ava and Emily both love reading books. 2/7 of Ava's books is equal to 1/9 of Emily's books. What is the ratio of Ava's to Emily's books? (Express your answer in the simplest form)
2:7 = 1:9 Find the LCM of 7 and 9 which is 63. Equalize the denominators, so that we have:
18:63 = 7:63 Since the denominators are the same, we conclude that ratio is:
18 : 7, which is the ratio of Emily's books to Eva's.
+33616 Let A = number of Ava's books and E = number of Emily's books:
(2/7)*A = (1/9)*E
A = (7/2)*(1/9)*E
A/E = (7/2)*(1/9)
A/E = 7/18 or A:E = 7:18
(Note that Emily must have more books than Ava).
+128475
(2/7) Ava's books = (1/9) Emily's books
Multiply both sides by (7/2)
Ava's books = (7/2)(1/9) Emily's books
Ava's books = (7/18) Emily's books ...so....
Ava's books / Emily's books = 7 /18
To see this let us suppose that Ava has 63 books.....then 2/7 of her books = 18
But this is 1/9 of Emily's books = 162
And 63 / 162 = 7/18
