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?

1 Answer
Oct 30, 2016

Answer:

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#