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Simplify 5 frac 1 4 div left 1 frac 2 3 - frac ... - WAEC Mathematics 2002 Question

Simplify \(5\frac{1}{4}\div \left(1\frac{2}{3}- \frac{1}{2}\right)\)

A
\(1\frac{3}{4}\)
B
\(3\frac{1}{2}\)
C
\(4\frac{1}{2}\)
D
\(8\frac{1}{2}\)
correct option: c

\(5\frac{1}{4}\div \left(1\frac{2}{3}- \frac{1}{2}\right)\
\frac{21}{4}\div \left(1\frac{4-3}{6}\right)\
\frac{21}{4}\div \left(1\frac{1}{6}\right)\
\frac{21}{4} \times \frac{6}{7}= 4\frac{1}{2}\)

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