If p:q=2/3:3 and p:r=3/4:2/3 calculate the ratio p:q:r. Giving the answer in its simplest form

Question

If p:q=2/3:3 and p:r=3/4:2/3 calculate the ratio p:q:r. Giving the answer in its simplest form

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Sadie 3 weeks 2022-01-08T06:46:00+00:00 1 Answer 0 views 0

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    2022-01-08T06:47:26+00:00

    Answer:

    Given  

    if p:q=2/3:3 and p:r=3/4:1/2, calculate the ratio p:q:r giving your answer in its simplest form

    We need to find the ratio p:q:r

    Given p:q = 2/3 : 3 = 2/3 / 3  = 2/9

    and p : r = 3/4 : 1/2 = 3/4 / 1/2  = 3/2  

    Now p/q = 2/9 and p/r = 3/2

    We need to make p equal numerators so we get

    p/q = 2/9 x 3/3 = 6/27 and

    p/r = 2/3 x 3/2 = 6/4

    Therefore p : q : r = 6 : 27 : 4

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