Simplify each term.
1/2X - 1/3Y
Combine 1/2x and −1/3y using a common denominator.
To write −1/3y as a fraction with a common denominator, multiply by 2x/2x.
(1 / 2x )(3y / 3y) + (−1 / 3y) (2x / 2x)
Write each expression with a common denominator of 6xy, by
multiplying each by an appropriate factor of 1.
1 (3y)/6xy − 1 (2x)/6xy
Combine the numerators over the common denominator.
1(3y) − (1(2x))/6xy
Simplify the numerator.
3y−(1(2x))/6xy
Simplify.
3y−(2x)/6xy
3y−2x/6xy
Simplify with factoring out.
Reorder 3y and −2x.
−2x+3y/6xy
Factor −1 out of −2x.
−1(2x)+3y/6xy
Factor −1 out of 3y.
−1(2x)−1(−3y)/6xy
Factor −1 out of −1(2x)−1(−3y).
−1(2x−3y)/6xy
Move the negative in front of the fraction.
−2x−3y/6xy