Question

A water bottle holds Fraction 5 over 8 liter of water when it is Fraction 3 over 4 full.

Which statement best describes the quotient of 5 over 8division sign3 over 4?

The maximum amount of water the bottle can hold is Fraction 6 over 5 liters.

The amount of water that can be still poured in the bottle is Fraction 5 over 6 liter.

The amount of water that can be still poured in the bottle is Fraction 6 over 5 liters.

the maximum amount of water that the bottle can hold is Fraction 5 over 6 liter.

Answer 1

The correct answer is the last choice.

The 5/8 L represents what 3/4 of the total amount it. When you divide 5/8 by 3/4 you are finding what the total amount the bottle could hold is.

Answer 2

D) The maximum amount the bottle can hold is
`(5)/(6)` litre.

Explanation:

There is
`(5)/(8)` litres in
`(3)/(4)`of the bottle.

To find out how much water is in 1 bottle, the amount of litres can be divided by three to find out how much water is in one quarter of the bottle. Th amount can then be multiplied by four, to to find the volume of one bottle:

`(5)/(8) *(1)/(3) *(4)/(1)\\=(5)/(8) *(4)/(3) \\=(20)/(24) \\=(5)/(6)`