Answer:
a = 4/3
Step-by-step explanation:
a/4 - 5/6 + 5/6 = -1/2 + 5/6
a/4 = 1/3
4a/4 = 1 x 4/3
a = 4/3
[tex]\dfrac{a}{4}-\dfrac{5}{6}=-\dfrac{1}{2}\qquad\text{multiply both sides by common denominator 12}\\\\12\cdot\dfrac{a}{4}-12\cdot\dfrac{5}{6}=12\cdot\left(-\dfrac{1}{2}\right)\\\\3\cdot a-2\cdot5=6\cdot(-1)\\\\3a-10=-6\qquad\text{add 10 to both sides}\\\\3a=4\qquad\text{divide both sides by 3}\\\\\boxed{a=\dfrac{4}{3}=1\dfrac{1}{3}}[/tex]
