Question
Simplify:
$\frac{5}{3}-\frac{7}{6}+\frac{-2}{3}$
$\frac{5}{3}-\frac{7}{6}+\frac{-2}{3}$
✓
Answer
$\Big(\frac{5}{3}-\frac{7}{6}+\frac{-2}{3}\Big)$
$=\Big(\frac{5\times2}{3\times2}-\frac{7}{6}+\frac{-2\times2}{3\times2}\Big)$
$=\Big(\frac{10}{7}-\frac{7}{6}+\frac{-4}{6}\Big)$
$=\Big(\frac{10}{6}-\frac{7}{6}+\frac{-4}{6}\Big)$
$=\Big(\frac{-10-7-4}{6}\Big)$
$=\Big(\frac{10-11}{6}\Big)$
$=\Big(\frac{-1}{6}\Big)$
$=\Big(\frac{5\times2}{3\times2}-\frac{7}{6}+\frac{-2\times2}{3\times2}\Big)$
$=\Big(\frac{10}{7}-\frac{7}{6}+\frac{-4}{6}\Big)$
$=\Big(\frac{10}{6}-\frac{7}{6}+\frac{-4}{6}\Big)$
$=\Big(\frac{-10-7-4}{6}\Big)$
$=\Big(\frac{10-11}{6}\Big)$
$=\Big(\frac{-1}{6}\Big)$
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