Given a/b = 3/4 and b/c = 8/9, find the ratio a:c in simplest form.
Note
Let b = 4k so a = 3k. From b/c = 8/9, c = (9/8)b = (9/8)·4k = (9/2)k. Then a:c = 3k : (9/2 k) = 3 : 9/2 = multiply by 2 → 6:9 = 2:3.
Given a/b = 3/4 and b/c = 8/9, find the ratio a:c in simplest form.
Let b = 4k so a = 3k. From b/c = 8/9, c = (9/8)b = (9/8)·4k = (9/2)k. Then a:c = 3k : (9/2 k) = 3 : 9/2 = multiply by 2 → 6:9 = 2:3.