Answer:
p:q:r = 12:15:10
Explanation:
Given p:q = (2/3):(5/6) and q:r = (3/4):(1/2), you want p:q:r.
Integer ratios
We can turn each ratio into a ratio of integers by multiplying by the least common denominator.
p:q = 4:5 . . . . . . . multiply the given ratio by 6
q:r = 3:2 . . . . . . . multiply the given ratio by 4
Now, we need to have q be represented in each ratio by the same number. That number will be the least common multiple of its representations in these ratios: LCM(5, 3) = 15.
Multiplying the first ratio by 3, we have ...
p : q = 12 : 15
Multiplying the second ratio by 5 gives ...
q : r = 15 : 10
Ratios of all three
Now, we can write the ratio of interest:
p : q : r = 12 : 15 : 10
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