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
- \(\frac{37}{48}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
If m = 4, n = 9, r = 16,
then \(\frac{m}{n}\) - 1\(\frac{7}{9}\) + \(\frac{n}{r}\)
= \(\frac{4}{9}\) - \(\frac{16}{9}\) + \(\frac{9}{16}\)
= \(\frac{64 - 256 + 81}{144}\)
= \(\frac{-111}{144}\)
= - \(\frac{37}{48}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #45708)