Question

Karen raked 3/5 of the yard. Minni raked 1/3 of the amount Karen raked. How much of the yard did Minni rake?

Answer 1

Minni raked 1/5 of the yard.

Explanation:

A fraction "of" means the fraction "times".

So `1/3` of `3/5` means `1/3 xx 3/5`.

Multiplying fractions is the simple thing to do. You just multiply straight across. The top time the top over the bottom time the bottom.

`1/3 xx 3/5 = (1xx3)/(3xx5)` `" "` (we see a common factor of `3`, so we'll reduce)

`= (1xxoverbrace(cancel(3))^1)/(underbrace(cancel(3))_1xx5) = 1/5`.