Evaluate, correct to the nearest whole number \(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div\frac{33}{2}\)

  • A 33
  • B 8
  • C 7
  • D o
waec 2005mathematics

The correct answer is C. 7

\(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div\frac{33}{2}\\

=\frac{15}{2}-\left(\frac{5}{2}+\frac{3}{1}\right)\times\frac{2}{33}\\

=\frac{15}{2}-\left(\frac{5+6}{2}\right)\times \frac{2}{33}=\frac{15}{2}-\frac{11}{2}\times \frac{2}{33}=\frac{15}{2}-\frac{1}{3}\\

=\frac{45-2}{6}=\frac{43}{6}\)

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