If a:b=2:3 and b:c=4:6 then what is the value of a:b:c?

Answer 1

Remember that ratios may be reduced just like fractions. They are typically presented in their lowest representation.

a:b = 2:3 = 4:6 = 6:9 = 8:12 = ...

b:c = 4:6 = 2:3 = 6:9 = 8:12 = ...

Now, if you chose one from each line that has the same value for b, you get:

a:b:c = 4:6:9

Answer 2

a : b :: 2 : 3

a : b :: 8 : 12

b : c :: 4 : 6

b : c : 12 : 18

:

a : b : c :: 8 : 12 : 18