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The difference between 4\(\frac{5}{7}\) and 2\(\frac{1}{4}\) is greater than sum of \(\frac{1}{14}\) and 1\(\frac{1}{2}\) by

Mathematics
JAMB 1981

The difference between 4\(\frac{5}{7}\) and 2\(\frac{1}{4}\) is greater than sum of \(\frac{1}{14}\) and 1\(\frac{1}{2}\) by

  • A. \(\frac{23}{28}\)
  • B. \(\frac{24}{28}\)
  • C. \(\frac{50}{56}\)
  • D. \(\frac{27}{28}\)
  • E. \(\frac{48}{56}\)
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Correct Answer: Option C
Explanation

Difference between 4\(\frac{5}{7}\) and 2\(\frac{1}{4}\)

\(\frac{33}{7}\) - \(\frac{9}{4}\) = \(\frac{69}{24}\)

The sum of \(\frac{1}{14}\) and 1\(\frac{1}{14}\) + \(\frac{3}{2}\)

= \(\frac{11}{7}\)

\(\frac{69}{28}\) - \(\frac{11}{7}\) = \(\frac{25}{28}\)

= \(\frac{50}{56}\)


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