Question

If b:a is 2:3, b:c is 4:3, c:d is 4:5 and d:f is 6:7 then find a:c:f

Answer 1

a:b = 3:2 ...(interchanging numerator and denomination)

a:b:c

2:3 4:3

2×4 : 3×4 4×3 : 3×3

8:12:9

a:c = 8:9

c:d = 4:5. d:f = 6:7

4×6 : 5×6 6×5 : 7×5

24:30:35

c:f = 24:35

a:c:f

8:9 24:35

8×8 : 9×8 24×3 : 35×3

64:72:105