Five quarters: four fifths = (5/4): (4/5) = (5/4)/(4/5) = (5/4) * (5/4) = 25/16.

The simplest integer ratio = 25: 16.

The quotient of the number A divided by the number B is 8/ 15.

Quantity A/ quantity B = 8/ 15

So A: B = 8: 15.

The number a is one sixth more than the number b.

A number = B number +B number /6 = (7/6) B number

A/B = (7 B /6)/ B = 7/6

So the number A: the number B = 7: 6.