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

$\frac{7/8}{8/8} = \frac{3/4}{x}$

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

$x = \frac{3/4}{7/8}$

$x = 6/7$

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