Simplify (7frac{1}{2}-left(2frac{1}{2}+3right)div16frac{1}{2})and correct your answer to the nearest whole number...
MATHEMATICSWAEC 2004
Simplify \(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div16\frac{1}{2}\)and correct your answer to the nearest whole number
- A. 33
- B. 8
- C. 7
- D. 0
Correct Answer: C. 7
Explanation
\(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div16\frac{1}{2}; \frac{15}{2} - \left(\frac{5}{2}+\frac{3}{1}\right)\div \frac{33}{2}\\
\frac{15}{2} - \left(\frac{5+6}{2}\right)\div \frac{33}{2}; \frac{15}{2} - \frac{11}{2} \div \frac{33}{2}\\
\(\frac{11}{2}\) ÷ \(\frac{33}{2}\) = \(\frac{11}{2}\) * \(\frac{2}{33}\)
= \(\frac{11}{33}\) or \(\frac{1}{3}\) (when simplified)
\(\frac{15}{2}\) - \(\frac{1}{3}\) = \(\frac{43}{6}\)
7.166
The nearest whole number is 7
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