Question

If p: q = 3÷ 4 q:2 and p:r =1÷3:1 1÷2 find


p:q:r

q:r

Answer 1

Answer:

a. 6 : 16 : 9

b. 16 : 9

Step-by-step explanation:

a. Given,

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

4

3

:2

\implies p : q = 3 : 8⟹p:q=3:8

p : r =\frac{1}{3} : \frac{1}{2}p:r=

3

1

:

2

1

=\frac{2}{6} : \frac{3}{6}=

6

2

:

6

3

\implies p : r = 2 : 3⟹p:r=2:3

Since, L.C.M.(2, 3) = 6,

p : q = 3 : 8 = 6 : 16p:q=3:8=6:16

p : r = 2 : 3 = 6 : 9p:r=2:3=6:9

\implies p : q : r = 6 : 16 : 9⟹p:q:r=6:16:9

b. q : r =16 : 9q:r=16:9