Question

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If a:b = 1¾:2⅔ and b:c = 4:3¼, find :
1. a:b:c and 2. a:c ​

Answer 1

Answer:

We want to effectively break the final question of abc/def down into the form of:

a/d * b/e * c/f

We begin by calculating a/b * b/c * c/d. After cancelling all possible variables, we have that a/d = (1/3 * 2 * 1/2) = 1/3.

We now calculate b/c * c/d * d/e . We cancel again and obtain:

b/e = (2 *1/2 * 3) = 3

Finally, we calculate c/d * d/e * e/f. Cancel again and obtain:

c/f = (1/2 * 3 * 1/4) = 3/8.

We can now find the answer: a/d * b/e * c/f = 1/3 * 3 * 3/8 = 3/8.