Why is 1-6 greater than 1-8 but less than 1-3?

Because when subtracting a larger number from a smaller number you end up with a negative number. The "higher" the negative number really means that it is a smaller value. Therefore - 8 < - 5 < - 2

Buy 3 pies (or draw circles on paper) ... Cut the pies (or draw lines in your circles) to evenly divide in 3, 6, 8 ... Now take one slide from each out in a plate (or if you chose to draw, only colour in one slice).

Which looks bigger?

(It should be 1/3)

Basically, representing a number as a fraction represents a number (rank, odds, etc) out of a total number.

If you have 5 friends over. You could have 1/6 of pie (because you will have cut in 6 so that you and5 friends could have a slice). Whereas, if you only invited 2 friends, you could have 1/3 of the pie yourself (more pie, remember that you cut the pie in 3 four you and 2 friends).

Now try 1/2, 1/3, 1/4