If A : B = 3 : 4, B : C = 5 : 6, And C : D = 11 : 9 then A : D is:

Question: If A : B = 3 : 4, B: C = 5: 6, and C: D = 11: 9 then A : D is:

Solution:
Given that,
A/B = 3/4
B/C = 5/6
C/D = 11/9

To find the ratio of A : D, we can multiply all these ratios together:
A/D = (A/B) × (B/C) × (C/D)
⇒ A/D = (3/4) × (5/6) × (11/9)
⇒ A / D = (3 × 5 × 11)/(4 × 6 × 9)
⇒ A/D = 165/216
⇒ A/D = 55/72
∴ A : D = 55 : 72