D) The maximum amount of water that the bottle can hold is
[tex] \frac{5}{6} litre[/tex]
We know that,
There is 5/8 litres in 3/4 of the bottle.
To find out how much water is there in 1 bottle, the amount of litres can be divided by 3 to find out how much water is there in one quarter of the bottle.
This amount is then multiplied by 4 to find out the volume of one bottle -
[tex] \frac{5}{8} \times \frac{1}{3} \times \frac{4}{1} [/tex]
[tex] \frac{5}{8} \times \frac{4}{3} [/tex]
[tex] \frac{20}{24} [/tex]
[tex] \frac{5}{6} [/tex]
Hence,
5/8 litres represents 3/4 of the total amount of it.
This gives the total amount of water the bottle can hold.
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Disclaimer : The complete question is given below.
Question :
Which statement best describes the quotient of 5 over 8 division sign 3 over 4?
(1) The maximum amount of water the bottle can hold is Fraction 6 over 5 liters.
(2) The amount of water that can be still poured in the bottle is Fraction 5 over 6 liter.
(3) The amount of water that can be still poured in the bottle is Fraction 6 over 5 liters.
(4) The maximum amount of water that the bottle can hold is Fraction 5 over 6 liter.