Question

How do you simplify `(1+1/x)/(5-1/y)`?

Answer 1

`(1+1/x)/(5-1/y)=(y(x+1))/(x(5y-1))=(xy+y)/(5xy-x)`

Explanation:

This is a complex fraction

`(1+1/x)/(5-1/y)`

Determine the correct LCD for the expression at the numerator and the denominator which are x and y respectively

`(1+1/x)/(5-1/y)=((x+1)/x)/((5y-1)/y)=(x+1)/xdiv (5y-1)/y=(x+1)/x*y/(5y-1)`

`(1+1/x)/(5-1/y)=(y(x+1))/(x(5y-1))=(xy+y)/(5xy-x)`

God bless....I hope the explanation is useful.