Question
Simplify:
$\frac{5}{4}-\frac{7}{6}-\frac{-2}{3}$
$\frac{5}{4}-\frac{7}{6}-\frac{-2}{3}$
✓
Answer
$\frac{5}{4}-\frac{7}{6}-\frac{-2}{3}$
Taking the LCM of the denominators:
$\frac{15}{12}-\frac{14}{12}-\frac{-8}{12}$
$=\frac{15-14-(-18)}{12}$
$=\frac{15-14+8}{12}$
$=\frac{9}{12}$
$=\frac{3}{4}$
Taking the LCM of the denominators:
$\frac{15}{12}-\frac{14}{12}-\frac{-8}{12}$
$=\frac{15-14-(-18)}{12}$
$=\frac{15-14+8}{12}$
$=\frac{9}{12}$
$=\frac{3}{4}$
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