Find the coefficient of m in the expression of (\(\frac{m}{2} - 1 \frac{1}{2}\)) (m + \(\frac{2}{3}\))

A.

-\(\frac{1}{6}\)

B.

- \(\frac{1}{2}\)

C.

-1

D.

-1\(\frac{1}{6}\)

Correct answer is D

(\(\frac{m}{2} - 1\frac{1}{4}\))(m + \(\frac{2}{3}\))

(\(\frac{m}{2} - \frac{3}{2}\))(\(\frac{m}{1} + \frac{2}{3}\))

= \(\frac{m^2}{3} + \frac{3m}{6} - \frac{6}{6}\)

= \(\frac{2m - 9m}{6}\)

= \(\frac{-7m}{6}\)

= 1\(\frac{1}{6}\)