Answer:

x/y = 28/9.

Step-by-step explanation:

Let x = 7/8 of 80.

Let y = 1/4 of 90.

So the quotient is x/y.

7/8 of 80 means 7*80/8 = 7*10 = 70 so x = 70.

1/4 of 90 means 90/4 which is 45/2 which is 22.5

so x/y is 70/22.5 which is 140/45.

let’s simplify further.

140 = 7*2*5*2 = 2^2 *5*7

45 = 3^2 * 5

so there is a 5 in common which can be cancelled from top and bottom.

2^2*7 = 28.

3^2 = 9

so x/y = 28/9.

Therefore if 7/8 of 80 is divided by 1/4 of 90 the quotient is 28/9. or 3 19 .