Question

A jar holdsFraction 3 over 4 gallon of juice when it is Fraction 7 over 8 full. Which statement best describes the quotient of 3 over 4division sign 7 over 8?

Answer 1

3/4 / 7/8

= 3/4 * 8/7 = 24/28 = 6/7 gallons

This is the volume of juice when the jar is full.

Answer 2

7/8 of jar capacity represents 3/4 gallon. 8/8 of jar capacity represents x gallon. This proportion can be written as

`(7/8)/(8/8) = (3/4)/(x)`

Taking into account that 8/8 = 1 and solving for x gives

`x = (3/4)/(7/8)`

`x = 6/7`

which represents, in gallons, the maximum amount of juice the jar can hold.