Question

M/2 - 1 = m/3 + 1/3

Answer 1

mmc 2,1: 2

$\frac{m}{2} - 1 = \frac{m}{3} + \frac{1}{3} \\ \\ \frac{m}{2} - \frac{1}{1} = \frac{m}{3} + \frac{1}{3} \\ \\ \frac{[(2/2).m]-[(2/1).1]}{2} = \frac{m+1}{3} \\ \\ \frac{m-2}{2} = \frac{m+1}{3} \\ \\ (m-2).3 = 2.(m+1) \\ \\ 3m-6 = 2m+2 \\ \\ 3m-2m=2+6 \\ \\ m = 8$


Comprovando...
$\frac{m}{2} - 1 = \frac{m}{3} + \frac{1}{3} \\ \\ \frac{8}{2} - 1 = \frac{8}{3} + \frac{1}{3} \\ \\ 4 - 1 = \frac{8+1}{3} \\ \\ 3 = \frac{9}{3} \\ \\ 3 = 3$