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Simplify 1 frac 1 2 2 frac 1 3 times frac 3 4 -... - WAEC Mathematics 2010 Question

Simplify 1(\frac{1}{2} + 2\frac{1}{3} \times \frac{3}{4} - \frac{1}{2})

A
-2\(\frac{1}{3}\)
B
-2\(\frac{1}{4}\)
C
2\(\frac{1}{8}\)
D
2\(\frac{3}{4}\)
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Correct Option: D

1(\frac{1}{2} + 2\frac{1}{3} \times \frac{3}{4} - \frac{1}{2})

(\frac{3}{2} + \frac{7}{3} \times \frac{3}{4} - \frac{1}{2} = \frac{3}{2} + \frac{7}{4} - \frac{1}{2})

= (\frac{6 + 7 - 2}{4} = \frac{11}{4})

= 2(\frac{3}{4})

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