Fractions can be a mess to anyone who doesnt understand, or cant visualize them enough to solve problems. Let me see if I can help visually depict your problem so you can further understand solving fractions....
How many sixths are in one third?
First, if you can on a sheet of paper in front of you visually make a two circles or long rectangles. In the 1st, divide it up into six slices and the other, divide into 3. Now, if youre a quick learner, just by this picture alone, it should be able to solve it for you seeing that the 1st circle has 6 pieces and the 2nd has 3. But if it isnt setting in, then what you want to do at this point is color in one third of the circle that has 3 slices in it. Now think, if you have one third of the circle colored in, how will it translate to the circle that has 6 pieces? How many would need to be colored in order to make it equal? For this, just think...how many times does 3 go into 6?
Hopefully you came up with 2/6 are in 1/3
and whenever doing fractions, its ALWAYS better to try to visually represent it for better understanding, believe me I know, Im a teacher.