Question

Calcule
9/5 - (-1/2 +5/6) + (-2/3 +1)

Answer 1

$( \frac{ - 1}{2} + \frac{5}{6} ) \\ mmc = 6 \\ \frac{ - 3}{6} + \frac{5}{6} = \frac{ - 3 + 5}{6} = \frac{2}{6}$

$( \frac{ - 2}{3} + \frac{1}{1}) \\ mmc = 3 \\ \frac{ - 2}{3} + \frac{3}{3} = \frac{ - 2 + 3}{3} = \frac{1}{3}$

$\frac{9}{5} - \frac{2}{6} + \frac{1}{3} \\ mmc = 30 \\ \frac{54}{30} - \frac{10}{30} + \frac{10}{3} = \frac{54 - 10 + 10}{30} = \frac{54}{30} \\ \\ \frac{54}{30} ^{ \div 2} = \frac{27}{15}^{ \div 3} = \frac{9}{5}$