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

p : q : r = 221 : 34 : 78

Step-by-step explanation :

Given:

• p : q = 13 : 2 = (13 × 34) : (2 × 34) = 442 : 68

• p : r = 34 : 12 = (34 × 13) : (12 × 13) = 442 : 156

You see, now p has same value.

Therefore, p : q : r = 442 : 68 : 156

= (442 ÷ 2) : (68 ÷ 2) : (156 ÷ 2)

= 221 : 34 : 78