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

Mathematics
JAMB 1982

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

  • A. 1\(\frac{3}{4}\)
  • B. -1
  • C. 1\(\frac{3}{10}\)
  • D. 1
  • E. 1\(\frac{9}{10}\)
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Correct Answer: Option D
Explanation

3 - 2 \(\div\) (\(\frac{4}{5}\)) + \(\frac{1}{2}\)

3 - (2 x \(\frac{5}{4}\)) + \(\frac{1}{2}\) = 3 - \(\frac{10}{4}\) + \(\frac{1}{2}\)

= 3 - \(\frac{5}{2}\) + \(\frac{1}{2}\)

= \(\frac{6 - 5 + 1}{2}\)

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

= 1


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