dan has 2 glasses. the first glass was ¾ full of water while the second was empty. he then poured all the water from the first glass to the second, which then became 2/3 full of water. what is the fraction of the volume of the first glass divided by the second?

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02-09-2022
Mathematics

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dan has 2 glasses. the first glass was ¾ full of water while the second was empty. he then poured all the water from the first glass to the second, which then became 2/3 full of water. what is the fraction of the volume of the first glass divided by the second?

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rafikiedu08 rafikiedu08 · Answer 1 · 2022-09-06T16:50:34+02:00

The fraction of volume of the first glass is [tex]$\frac{8}{9}$[/tex] of the second glass.

In arithmetic, a number of expressed as a quotient, wherein a numerator is divided by way of a denominator is known as a fragment.

In a easy fraction, each are integers.
a fragment appears within the numerator or denominator of a complicated fraction.
The numerator of a right fraction is less than the denominator.

Now allow us to solve the given query the usage of those residences of fractions.

let the overall extent of the first glass be x cubic devices.

Therefore volume of water in the glass = [tex]\frac{3}{4}x[/tex] cubic units.

Now the water from the first glass is poured into the second glass and the second glass becomes [tex]\frac{2}{3}[/tex] full. Let the total volume of the second glass be y.

Therefore [tex]\frac{2}{3}y=\frac{3}{4} x[/tex]

Or,[tex]y=\frac{9}{8}x[/tex]

Now, required fraction=Volume of first glass/Volume of second glass

or, fraction=[tex]\frac{x}{y}[/tex]

or, fraction=[tex]\frac{8}{9}[/tex].

The Volume of the first glass is [tex]$\frac{8}{9}$[/tex] of the second glass.

To learn more about fractions:

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