Question

Luis has a Collection of shoes. 1/4 of his shoes or running shoes. Of the running shoes, 50% are red. What fraction of all his shoes are red running shoes?

Answer 1

1/8

Explanation:

He has a collection of shoes representing x in number. 1/4 of his shoes are running shoes. Thus we have

1/4 of x = 1/4x.

Of this fraction, 50% which is 1/2 are red. Thus, we have

(1/2)*(1/4x) to be red.

The fraction of of all his shoes that are running shoes will thus be (1/2)*(1/4) = 1/8 of the total amount (x).

Answer 2

`(1)/(8)` of all his shoes are red running shoes

Explanation:

1/4 of Luis' shoes are running shoes.

Of those, 50%(1/2) are red.

Then

What fraction of all his shoes are red running shoes?

1/2 of 1/4

(1/2)*(1/4) = (1/8)

`(1)/(8)` of all his shoes are red running shoes