Question

2/3 - (1 - 1/2+1/3)-(1/5+1)
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Answer 1

Explicación paso a paso:

$\frac{ 2 }{ 3 } -(1- \frac{ 1 }{ 2 } + \frac{ 1 }{ 3 } )-( \frac{ 1 }{ 5 } +1)= \\ \\ \frac{2}{3}-\left(\frac{2}{2}-\frac{1}{2}+\frac{1}{3}\right)-\left(\frac{1}{5}+1\right) = \\ \\ \frac{2}{3}-\left(\frac{2-1}{2}+\frac{1}{3}\right)-\left(\frac{1}{5}+1\right) \\ \\ \frac{2}{3}-\left(\frac{1}{2}+\frac{1}{3}\right)-\left(\frac{1}{5}+1\right) \\ \\ \frac{2}{3}-\left(\frac{3}{6}+\frac{2}{6}\right)-\left(\frac{1}{5}+1\right) \\ \\ \frac{2}{3}-\frac{3+2}{6}-\left(\frac{1}{5}+1\right) \\ \\ \frac{2}{3}-\frac{5}{6}-\left(\frac{1}{5}+1\right) \\ \\ \frac{4}{6}-\frac{5}{6}-\left(\frac{1}{5}+1\right) \\ \\ \frac{4-5}{6}-\left(\frac{1}{5}+1\right) \\ \\ -\frac{1}{6}-\left(\frac{1}{5}+1\right) \\ \\ -\frac{1}{6}-\left(\frac{1}{5}+\frac{5}{5}\right) \\ \\ -\frac{1}{6}-\frac{1+5}{5} \\ \\ -\frac{1}{6}-\frac{6}{5} \\ \\ -\frac{5}{30}-\frac{36}{30} \\ \\ \frac{-5-36}{30} \\ \\ -\frac{41}{30}$