Question

Rick has 1/2 of a footlong sub left from yesterday. He ate 1/3 of the leftover sandwich as a snack. What fraction of the entire sandwich did he eat as a snack?

Answer 1

He ate another `1/6` of the entire footlong as a snack.

Explanation:

He ate one third of the half that he had.
That's the English sorted!

Now for the maths. IT is exactly the same.

`1/3 xx 1/2 = 1/6`

OR :

as soon as you see the denominators of 2 and 3 you should realise that you are working with sixths.

The original footlong was `6/6`.

Half was eaten, meaning that of the `6/6`, now `3/6` are left.

One third is eaten, so three-sixths divided by 3 is `1/6`

`3/6 div 3 = 3/6 xx 1/3 = 1/6`

Or: find `1/3 of 3/6`

`1/cancel3 xx cancel3/6 = 1/6`