SOLUTION: Subtract. Express your answer in simplest form. 2/5 - (y/y-2)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Subtract. Express your answer in simplest form. 2/5 - (y/y-2)       Log On


   



Question 91483: Subtract. Express your answer in simplest form.
2/5 - (y/y-2)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2/5 - (y/y-2)
-----------
The least common denominator is 5(y-2)
---------------
Rewrite each fraction with the lcd as its denominator:
2(y-2)/lcd - 5y/lcd
-------------
Both fractions now have the same denominator so combine the numerators to get:
[2y-4-5y]/lcd
--------------
Simplify the numerator:
[-(3y+2)]/[5(y-2)]
================
Cheers,
Stan H.