Start with ratio 2 : 3
2 : 3
[2×2] : [3×2]
4 : 6
The ratio 2 : 3 is equivalent to 4 : 6 because we multiply both '2' and '3' by the same multiplier '2' to get 4 : 6
4 : 6
[4×2] : [6×2]
8 : 12
The ratio 4 : 6 is equivalent to 8 : 12 because we multiply both '4' and '6' by the same multiplier '2'
We worked out earlier that 2 : 3 = 4 : 6, and since 4 : 6 = 8 : 12, we can conclude that 2 : 3 = 4 : 6 = 8 : 12
