$10\frac{2}{3}+3\frac{1}{6} -5\frac{5}{6} – 2\frac{1}{3}=? $
$10\frac{2}{3}+3\frac{1}{6} -5\frac{5}{6} – 2\frac{1}{3}=? $
Detailed Solution & Logic
Correct Answer:
$5\frac{2}{3}$
Given:
$10\frac{2}{3}+3\frac{1}{6}-5\frac{5}{6}-2\frac{1}{3}$
Convert mixed fractions into improper fractions:
$10\frac{2}{3}=\frac{32}{3}$
$3\frac{1}{6}=\frac{19}{6}$
$5\frac{5}{6}=\frac{35}{6}$
$2\frac{1}{3}=\frac{7}{3}$
Now take LCM = 6:
$\frac{64}{6}+\frac{19}{6}-\frac{35}{6}-\frac{14}{6}$
$=\frac{83-49}{6}$
$=\frac{34}{6}$
$=\frac{17}{3}$
$=5\frac{2}{3}$
✅ Correct answer: $5\frac{2}{3}$
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