Question
Simplify:
$\frac{2}{3}+\frac{5}{6}-\frac{1}{9}$
$\frac{2}{3}+\frac{5}{6}-\frac{1}{9}$
✓
Answer
$\frac{2}{3}+\frac{5}{6}-\frac{1}{9}$
LCM of 3, 6, 9 = 18
$\therefore\frac{2}{3}=\frac{2\times6}{3\times6}=\frac{12}{18}$
$\frac{1}{9}=\frac{1\times2}{9\times2}=\frac{2}{18}$
$\therefore\frac{12+15-12}{18}=\frac{27-2}{18}$
$=\frac{25}{18}=1\frac{7}{18}$
LCM of 3, 6, 9 = 18
$\therefore\frac{2}{3}=\frac{2\times6}{3\times6}=\frac{12}{18}$
$\frac{1}{9}=\frac{1\times2}{9\times2}=\frac{2}{18}$
$\therefore\frac{12+15-12}{18}=\frac{27-2}{18}$
$=\frac{25}{18}=1\frac{7}{18}$
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