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Simplify 3 frac 1 2 4 frac 1 3 div frac 5 6 - f... - WAEC Mathematics 2009 Question

Simplify: (3\(\frac{1}{2} + 4\frac{1}{3}) \div (\frac{5}{6} - \frac{2}{3}\))
A
1\(\frac{1}{4}\)
B
8\(\frac{1}{2}\)
C
35
D
47
correct option: d
(3\(\frac{1}{2} + 4\frac{1}{3}) \div (\frac{5}{6} - \frac{2}{3}\)) = (7\(\frac{3 + 2}{6}) \div \frac{(5 - 4)}{6}\)

7\(\frac{5}{6} \div \frac{1}{6} = \frac{47}{6} \times \frac{6}{1}\) = 47
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