Question

Simplify: (y-(4/y))/(3+(6/y))

Answer 1

\[\frac{y-\frac{4}{y}}{3+\frac{6}{y}}\] like this? multiply top and bottom by y to clear the fraction in one step

Answer 2

\[\frac{y-\frac{4}{y}}{3+\frac{6}{y}}\times \frac{y}{y}=\frac{y^2-4}{3y+6}\]

Answer 3

yes, like that. the answer i know is (y-2)/3

Answer 4

then factor the numerator and denominator to get
\[\frac{(y+2)(y-2)}{3(y+2)}=\frac{y-2}{3}\]

Answer 5

Thank you so much!!! I appreciate it.