Question

solve the following equations a-[a-1/2]=1-(a-2)/3​

Answer 1

$a - (a - \frac{1}{2} ) = 1 - (a - \frac{2}{3} ) \\ a - a+ \frac{1}{2} = 1-a + \frac{2}{3} \\ \frac{1}{2} = 1 + \frac{2}{3} - a \\ - a = \frac{1}{2} - \frac{5}{3} \\ \frac{1}{2} = \frac{3 + 2}{3} - a \\ \frac{1}{2} = \frac{5}{3} - a \\ - a = (3 - 5)\\ LCM \: of \: 2,3 =6 \\ - a = \cancel\dfrac{ - 2}{6} \\ - a = \frac{1}{3}$