What is 1/(6x)-(3x+2y)/(12xy) ?

The solution to 1/(6x)-(3x+2y)/(12xy) is -1/(4y)

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simplify 1/(6x)-(3x+2y)/(12xy)

simplify

\frac{1}{6 x} - \frac{3 x + 2 y}{12 x y}

- \frac{1}{4 y}

Solution steps

\frac{1}{6 x} - \frac{3 x + 2 y}{12 x y}

Least Common Multiplier of

6 x, 12 x y : 12 x y

Adjust Fractions based on the LCM

= \frac{2 y}{12 x y} - \frac{3 x + 2 y}{12 x y}

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

= \frac{2 y - ( 3 x + 2 y )}{12 x y}

Simplify

2 y - (3 x + 2 y) : - 3 x

= \frac{- 3 x}{12 x y}

Cancel

\frac{- 3 x}{12 x y} : - \frac{1}{4 y}

= - \frac{1}{4 y}

(- 5)^{\frac{1}{3}}

10 a^{2} (a^{3} - 3 a^{2} + a)

(- 2 - 6 i) - (4 - 6 i)

\frac{1}{x} + \frac{x}{2}

\frac{9 + 6 2}{6 + 4 2}

What is 1/(6x)-(3x+2y)/(12xy) ?
The solution to 1/(6x)-(3x+2y)/(12xy) is -1/(4y)