Mika made two types of cakes: chocolate and vanilla. she cut all of the chocolate cakes into 8 slices each and all of the vanilla cakes into 6 slices each. if mika ended up with the same total number of slices of each type of cake, what is the minimum number of slices of each type?

4/8 = 1/2
3/6 = 1/2
1/2 = 1/2

Mika ended up with 4 slices of chocolate and 3 slices of vanilla.

Further explanation.
1/8 is not equal to 1/6
2/8 = 1/4 is not equal to 2/6 = 1/3
3/8 is not equal to 3/6 = 1/2
4/8 = 1/2 IS equal to 3/6 = 1/2
4/8 = 1/2 is not equal to 4/6 = 2/3
5/8 is not equal to 5/6
6/8 = 3/4 is not equal to 6/6 = 1
8/8 = 1 is equal to 6/6 = 1

The minimum fraction what they are equal is 1/2 of each.