In algibratic fractions what is 1/2x-1/3y

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

1 - 1 = 1 (2x) (3y) - 1 (2x) (3y) = 6xy - 6xy = 0

2x 3y (2x) (3y) (2x) (3y) 6xy 6xy 6xy