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.

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

Correct answer is D

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

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

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

= \(\frac{64 - 256 + 81}{144}\)

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

= - 1\(\frac{37}{48}\)