Question

If p : q = 1/3 : 2 and p : r = 3/4 : 1/2 , calculate the ratio

p : q : r

giving your answer in its simplest form.

Answer 1

Answer:

given that :

p/q = 1/6

=> q = 6p

and

p/r = 3/2

=> r= 2p/3

now,

p:q:r = 3:18:2

hope it works ❤️

plz mark it as brainliest answer

Answer 2

$\huge{{ \red{given,}}}$

${{ \pink{if \: p:q= \frac{1}{3} :2 \: and \: p:r= \frac{3}{4} : \frac{1}{2} ,}}}$

calculate the ratio p:q:r giving your answer in its simplest form

We need to find the ratio p:q:r

${{ \red{given,}}} \: \\{{ \pink{p:q = \frac{1}{3} : 2= \frac{1}{3} \times \frac{1}{2} = \frac{1}{6} </p><p>,}}} \\ </p><p>{{ \green{ p:r= \frac{3}{4} : \frac{1}{2} = \frac{3}{4} \times \frac{2}{1}= \frac{3}{2} }}} \\ {{ \red{now \: \frac{p}{q} = \frac{1}{6} \: and \: \frac{p}{r} = \frac{3}{2} }}} \\ </p><p></p><p></p><p></p><p>$

We need to make p equal numerators so we get,

${{ \red{ \frac{p}{q} = \frac{1}{6} \times \frac{3}{2} = \frac{3}{12} \: }}} \\ {{ \red{ \frac{p}{r} = \frac{1}{3} \times \frac{3}{2} = \frac{3}{6} \: }}} \\ </p><p>{{ \red{Therefore \: p : q : r = 3 : 12 : 6}}}</p><p></p><p></p><p>$