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: Option D
Explanation
((frac{m}{2} – 1frac{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})