Question

if A:B,B:C AND C:D 1:2, 3:2, 1:3 THEN FIND A:B:C:D​

Answer 1

Answer:

1 : 2 : 4/3 : 4

Step-by-step explanation:

a:b = 1:2

a/b = 1/2

b = 2a

b:c = 3:2

b/c = 3/2

(2a)/c = 3/2

3c = 4a

c = 4a/3

c:d = 1:3

(4a/3)/d = 1/3

4a = d

a:b:c:d = a:2a:4a/3:4a

a:b:c:d = 1:2:4/3:4

Answer 2

Answer:

which

Step-by-step explanation:

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.