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If m = 4, n = 9 and r = 16., evaluate \(\frac{m}{n}\) - 1\(\frac{7}{9}\)...

Mathematics
WAEC 2015

If m = 4, n = 9 and r = 16., evaluate \(\frac{m}{n}\) - 1\(\frac{7}{9}\) + \(\frac{n}{r}\)

  • A. 1\(\frac{5}{16}\)
  • B. 1\(\frac{1}{16}\)
  • C. \(\frac{5}{16}\)
  • D. - \(\frac{37}{48}\)
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Correct Answer: Option D
Explanation

If m = 4, n = 9, r = 16,

then \(\frac{m}{n}\) - 1\(\frac{7}{9}\) + \(\frac{n}{r}\)

= \(\frac{4}{9}\) - \(\frac{16}{9}\) + \(\frac{9}{16}\)

= \(\frac{64 - 256 + 81}{144}\)

= \(\frac{-111}{144}\)

= - \(\frac{37}{48}\)


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