What is 11/12-1/6 q+5/6 q-1/3 ?

The solution to 11/12-1/6 q+5/6 q-1/3 is 7/12+(2q)/3

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simplify 11/12-1/6 q+5/6 q-1/3

simplify

\frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3}

\frac{7}{12} + \frac{2 q}{3}

Solution steps

\frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3}

Factor out common term

q

= \frac{11}{12} + q (- \frac{1}{6} + \frac{5}{6}) - \frac{1}{3}

- \frac{1}{6} + \frac{5}{6} = \frac{2}{3}

= \frac{11}{12} + q \frac{2}{3} - \frac{1}{3}

Join

\frac{11}{12} + q \frac{2}{3} - \frac{1}{3} : \frac{7}{12} + \frac{2}{3} q

= \frac{7}{12} + \frac{2}{3} q

Simplify

\frac{2}{3} q : \frac{2 q}{3}

= \frac{7}{12} + \frac{2 q}{3}

(2 x + 3) (2 x - 4)

\frac{3}{5}

(- 2) (- 2)

\frac{3}{x - 5} + \frac{7 x}{x + 8}

(3 x + 2) (2 x + 4)

What is 11/12-1/6 q+5/6 q-1/3 ?
The solution to 11/12-1/6 q+5/6 q-1/3 is 7/12+(2q)/3