Question

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

Answer 1

`\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)}`