Question

compare five-sixteenths and thirteen-eighteenths. Explain how you arrived at your answer. LCM AND LCD

Answer 1

Factor 16 and 18 to get the LCM.
16 is 2 x 2 x 2 x 2 and 18 is 2 x 3 x 3
So, you need 2 x 2 x 2 x 2 x 3 x 3 in the denominator

Answer 2

The reason why we have that as the denominator is that that is the smallest multiple for each of the original denominators. From the first fraction, you have to have 4 2's in it. The second one has one 2 and 2 3's, but we already have at least one 2, in fact we have 4, so we just have to include the 2 3's.

Answer 3

Now you multiply each numerator by what you multiply each denominator to get the LCM. Because if you multiply the top and bottom by the same number, all you are doing is multiplying by "1", which is the multiplicative identity. Any number multiplied by one remains as essentially the same number, just written differently sometimes.

Answer 4

that makes sence :D