prove that 3:8 is equivalent to 12:32:
I'd suggest that you write the ratio 12:32 as1232
and then factor both the 12 and the 32. Write out the factors:1232=(?)(?)(?)(?) and then reduce this last result by cancelling out the common factor.3 x 4 = 12
8 x 4 = 32
It is equivalent. They both multiplied by four the get that ratio.