What is 1/2 a+1/3 b+2a-3b-3/4 a-1/6 b+3/4-1/2 ?

The solution to 1/2 a+1/3 b+2a-3b-3/4 a-1/6 b+3/4-1/2 is (21a-34b)/(12)+1/4

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simplify 1/2 a+1/3 b+2a-3b-3/4 a-1/6 b+3/4-1/2

simplify

\frac{1}{2} a + \frac{1}{3} b + 2 a - 3 b - \frac{3}{4} a - \frac{1}{6} b + \frac{3}{4} - \frac{1}{2}

\frac{21 a - 34 b}{12} + \frac{1}{4}

Solution steps

\frac{1}{2} a + \frac{1}{3} b + 2 a - 3 b - \frac{3}{4} a - \frac{1}{6} b + \frac{3}{4} - \frac{1}{2}

Factor out common term

a

= a (\frac{1}{2} + 2 - \frac{3}{4}) + \frac{1}{3} b - 3 b - \frac{1}{6} b + \frac{3}{4} - \frac{1}{2}

Factor out common term

b

= a (\frac{1}{2} + 2 - \frac{3}{4}) + b (\frac{1}{3} - 3 - \frac{1}{6}) + \frac{3}{4} - \frac{1}{2}

\frac{1}{2} + 2 - \frac{3}{4} = \frac{7}{4}

b (\frac{1}{3} - 3 - \frac{1}{6}) = - b \frac{17}{6}

= a \frac{7}{4} - b \frac{17}{6} + \frac{3}{4} - \frac{1}{2}

Join

a \frac{7}{4} - b \frac{17}{6} + \frac{3}{4} - \frac{1}{2} : \frac{7}{4} a - \frac{17}{6} b + \frac{1}{4}

= \frac{7}{4} a - \frac{17}{6} b + \frac{1}{4}

\frac{7}{4} a = \frac{7 a}{4}

\frac{17}{6} b = \frac{17 b}{6}

= \frac{7 a}{4} - \frac{17 b}{6} + \frac{1}{4}

Join

\frac{7 a}{4} - \frac{17 b}{6} + \frac{1}{4} : \frac{21 a - 34 b}{12} + \frac{1}{4}

= \frac{21 a - 34 b}{12} + \frac{1}{4}

\frac{30}{10}

x (x + 1) (2 x + 1)

\frac{60 x ^{3}}{12 x}

5 x - 3 x

\frac{1}{x} - \frac{1}{x + 1}

What is 1/2 a+1/3 b+2a-3b-3/4 a-1/6 b+3/4-1/2 ?
The solution to 1/2 a+1/3 b+2a-3b-3/4 a-1/6 b+3/4-1/2 is (21a-34b)/(12)+1/4