What is m/2+3m-(2m)/3+4 ?

The solution to m/2+3m-(2m)/3+4 is (17m+24)/6

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simplify m/2+3m-(2m)/3+4

simplify

\frac{m}{2} + 3 m - \frac{2 m}{3} + 4

\frac{17 m + 24}{6}

Solution steps

\frac{m}{2} + 3 m - \frac{2 m}{3} + 4

Join

\frac{m}{2} - \frac{2 m}{3} : \frac{- m}{6}

= \frac{- m}{6} + 3 m + 4

Convert

3 m

to fraction

: \frac{18 m}{6}

Convert

4

to fraction

: \frac{24}{6}

= \frac{- m}{6} + \frac{18 m}{6} + \frac{24}{6}

Apply the fraction rule:

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

= \frac{- m + 18 m + 24}{6}

Add similar elements:

- m + 18 m = 17 m

= \frac{17 m + 24}{6}

(x^{2} y^{3} - 8) (x^{2} y^{3} + 6)

\frac{- 27}{3}

4 x^{3} + 8 x^{2}

\frac{9 ^{10}}{9 ^{2}}