Question

If p:q=1*1/3:1*1/2and q:r=1/2:1/3 find p:r

Answer 1

Given:

If p:q = $1\frac{1}{3} : 1\frac{1}{2}$ and q:r = $\frac{1}{2} : \frac{1}{3}$

To find:

p:r

Solution:

We have,

$p:q$ = $1\frac{1}{3} : 1\frac{1}{2}$

$\implies p : q = \frac{4}{3} : \frac{3}{2}$

multiplying L.C.M. of the denominators to each ratio

$\implies p : q = \frac{4}{3}\times 6 : \frac{3}{2}\times 6$

$\implies p : q = 4\times 2 : 3\times 3$

$\implies p : q = 8 : 9$ ....... (i)

and

$q:r$ = $\frac{1}{2} : \frac{1}{3}$

multiplying L.C.M. of the denominators to each ratio

$\implies q : r = \frac{1}{2}\times 6 : \frac{1}{3}\times 6$

$\implies q : r = 3: 2$ ....... (ii)

Now, multiplying eq. (i) & (ii), we get

$\frac{p}{q} \times \frac{q}{r} = \frac{8}{9}\times \frac{3}{2}$

$\implies \frac{p}{r} = \frac{24}{18}$

$\implies \frac{p}{r} = \frac{4}{3}$

Thus, $\boxed{\bold{p:r =4:3 }}$.

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Answer 2

Answer:

Step-by-step explanation: