Question
Simplify:
$\frac{5}{4}-\frac{7}{6}-\frac{-2}{3}$
$\frac{5}{4}-\frac{7}{6}-\frac{-2}{3}$
✓
Answer
$\frac{5}{4}-\frac{7}{6}-\frac{-2}{3}$
$=\Big(\frac{5\times3}{4\times3}-\frac{7\times2}{6\times2}-\frac{-2\times4}{3\times4}\Big)$
$=\Big(\frac{15}{12}-\frac{14}{12}-\frac{-8}{12}\Big)$
$=\Big(\frac{15-14+8}{12}\Big)$
$=\Big(\frac{9}{12}\Big)$
$=\Big(\frac{3}{4}\Big)$
$=\Big(\frac{5\times3}{4\times3}-\frac{7\times2}{6\times2}-\frac{-2\times4}{3\times4}\Big)$
$=\Big(\frac{15}{12}-\frac{14}{12}-\frac{-8}{12}\Big)$
$=\Big(\frac{15-14+8}{12}\Big)$
$=\Big(\frac{9}{12}\Big)$
$=\Big(\frac{3}{4}\Big)$
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