Question

RATIO AND PROPORTION



If p : q =3 : 4 and q : r = 8 : 9.
Find p : q : r​

Answer 1

Answer:

your answer is in the attachment

Answer 2

Given

• p : q =3 : 4
• q : r = 8 : 9

To Find

• p : r

Solution

_____________________

Let,

$\sf \dfrac{p}{q} = \dfrac{3}{4} \: \: \: \: \: - - - - (1)$

$\sf\dfrac{q}{r} = \dfrac{8}{9} \: \: \: \: \: - - - - (2)$

• On Multiplying (1) and (2)

$\sf \dfrac{p}{q} × \dfrac{q}{r} = \dfrac{3}{4}× \dfrac{8}{9}$

$\sf \dfrac{p}{ \cancel{q}} × \dfrac{ \cancel{q}}{r} = \dfrac{\cancel3}{ \cancel{4}}× \dfrac{{ \cancel{8}}^{2} }{\cancel9^{3} }$

$\sf \dfrac{p}{ r} = \dfrac{2}{3}$

____________________

p : r = 2 :3