Question

Find the LCD of the fractions, and then simplify the expression. Assume that no denominator equals zero. 5/(3x^2y) - 4/(6xy^3

Show all the steps so you can help me understand please(:

Answer 1

we can simplify second fratction by divide 2
4/2=2
6/2=3
2/(3xy^3)
common denomenator
factor
3x^2y=3*x*x*y
3xy^2=3*x*y*y
LCD=3*x*x*y*y=3x^3y^2

multiply first fraction by y/y and second fraction by x/x
(5y)/(3x^2y^2)-(2x)/(3x^2y^2)=
(5y-2x)/(3x^2y^2)