Evaluate frac frac 3 8 div frac 1 2 - frac 1 3 ... - JAMB Mathematics 2008 Question
Evaluate (\frac{\frac{3}{8} \div \frac {1}{2} - \frac{1}{3}}{\frac{1}{8} \times \frac {2}{3} + \frac{1}{3}})
A
\(\frac{1}{4}\)
B
\(\frac{1}{3}\)
C
\(\frac{1}{2}\)
D
1
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Correct Option: D
(\frac{\frac{3}{8} \div \frac {1}{2} - \frac{1}{3}}{\frac{1}{8} \times \frac {2}{3} + \frac{1}{3}})
= (\frac{\frac{3}{8} \times \frac {2}{1} - \frac{1}{3}}{\frac{1}{8} \times \frac {2}{3} + \frac{1}{3}})
= (\frac{\frac{6}{8} - \frac{1}{3}}{\frac{2}{24} + \frac{1}{3}})
= (\frac{\frac {18 - 8}{24}}{\frac{2 + 8}{24}}) = (\frac{\frac{10}{24}}{\frac{10}{24}})
= (\frac{10}{24}) (\div) (\frac{10}{24})
= (\frac{10}{24}) x (\frac{24}{10}) = 1
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