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

The solution to (3m-2)/(2m^2)+(m-3)/(2m) is (m^2-2)/(2m^2)

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

simplify

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

\frac{m ^{2} - 2}{2 m ^{2}}

Solution steps

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

Least Common Multiplier of

2 m^{2}, 2 m : 2 m^{2}

Adjust Fractions based on the LCM

= \frac{3 m - 2}{2 m ^{2}} + \frac{( m - 3 ) m}{2 m ^{2}}

Apply the fraction rule:

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

= \frac{3 m - 2 + ( m - 3 ) m}{2 m ^{2}}

Simplify

3 m - 2 + (m - 3) m : m^{2} - 2

= \frac{m ^{2} - 2}{2 m ^{2}}

0 - 18

8 \times 1 0^{4}

\frac{3}{7} \div 3

11 + 8

13 + 5

What is (3m-2)/(2m^2)+(m-3)/(2m) ?
The solution to (3m-2)/(2m^2)+(m-3)/(2m) is (m^2-2)/(2m^2)