What is m/n (y/2+m+6) ?

The solution to m/n (y/2+m+6) is (m(y+2m+12))/(2n)

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simplify m/n (y/2+m+6)

simplify

\frac{m}{n} (\frac{y}{2} + m + 6)

\frac{m ( y + 2 m + 12 )}{2 n}

Solution steps

\frac{m}{n} (\frac{y}{2} + m + 6)

Simplify

\frac{y}{2} + m + 6 : \frac{y + 2 m + 12}{2}

= \frac{m}{n} \cdot \frac{y + 2 m + 12}{2}

Apply the fraction rule:

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

= \frac{m ( y + 2 m + 12 )}{n \cdot 2}

= \frac{m ( y + 2 m + 12 )}{2 n}

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