Question

the expression 1/2+{19/4-(19/6)} is equal to​

Answer 1

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$\frac{1}{2}+ (4 \frac{3}{4} (3 \frac{1}{6} - 2 \frac{1}{3} )) \\ = \frac{1}{2} +( \frac{19}{4}- ( \frac{19}{6} - \frac{7}{3} ) \\ by \: taking \: LCM \: \\ = \frac{1}{2} +( \frac{19}{4}- ( \frac{19 - 14}{6} )) \\ = \frac{1}{2}+ ( \frac{19}{4} - \frac{5}{6} ) \\ = \frac{1}{2} + \frac{114-20}{24} \\ = \frac{1}{2} +\frac{94}{6}\\= \frac{3+94}{6} \\={\boxed{\frac{97}{6}}}$