Answer:
-1/2
Step-by-step explanation:
[tex](\frac{3}{4y} - \frac{2}{y}) /(\frac{1}{y} +\frac{3}{2y} )[/tex]Find common denominators for each side
[tex]= (\frac{3}{4y} - \frac{8}{4y}) /(\frac{2}{2y} +\frac{3}{2y} )[/tex] Combine the fractions over the common denominator
[tex]= \frac{3-8}{4y}/\frac{2+3}{2y}[/tex] Simplify the numerators
[tex]= \frac{-5}{4y}/\frac{5}{2y}[/tex]
[tex]= \frac{-5}{4y}X\frac{2y}{5}[/tex]Flip the second fraction to change to multiplication
[tex]= \frac{-5}{2}X\frac{1}{5}[/tex]Cross cancel out. 4y and 2y are divisible by 2y.\
[tex]= \frac{-1}{2}X\frac{1}{1}[/tex] Cross cancel out. -5 and 5 are divisible by 5.
[tex]= -\frac{1}{2}[/tex]
