What is expand 1/2 ((6m-4)/m) ?

The solution to expand 1/2 ((6m-4)/m) is 3-2/m

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expand 1/2 ((6m-4)/m)

expand

\frac{1}{2} (\frac{6 m - 4}{m})

3 - \frac{2}{m}

Solution steps

\frac{1}{2} (\frac{6 m - 4}{m})

Remove parentheses:

(a) = a

= \frac{1}{2} \cdot \frac{6 m - 4}{m}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot ( 6 m - 4 )}{2 m}

1 \cdot (6 m - 4) = 6 m - 4

= \frac{6 m - 4}{2 m}

Factor

6 m - 4 : 2 (3 m - 2)

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

Divide the numbers:

\frac{2}{2} = 1

= \frac{3 m - 2}{m}

Apply the fraction rule:

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

\frac{3 m - 2}{m} = \frac{3 m}{m} - \frac{2}{m}

= \frac{3 m}{m} - \frac{2}{m}

Cancel

\frac{3 m}{m} : 3

= 3 - \frac{2}{m}

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