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Evaluate x/y when x=9/4 and y=3/5

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Answer:


\displaystyle x/y=(15)/(4)

Explanation:

Division of fractions

To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:


\displaystyle ((a)/(b))/((c)/(d))=(a)/(b)\cdot (d)/(c)

We will evaluate x/y when x=9/4 and y=3/5:


\displaystyle ((9)/(4))/((3)/(5))=(9)/(4)\cdot (5)/(3)


\displaystyle=(45)/(12)

Simplifying:


\displaystyle \boxed{x/y=(15)/(4)}

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