22\(\frac{1}{2}\)% of the Nigerian Naira is equal to 17\(\frac{1}{10}\)% of a foreign currency M. What is the conversion rate of the M to the Naira?

A.

1M = 1\(\frac{15}{57}\)N

B.

1M = 38\(\frac{1}{4}\)N

C.

1M = 1\(\frac{18}{57}\)N

D.

1M = 384\(\frac{3}{4}\)N

Correct answer is C

N = 22\(\frac{1}{2}\)%, M = 17\(\frac{1}{10}\)%

M = \(\frac{171}{10}\)%, N = \(\frac{45}{2}\)

\(\frac{45}{2}\) x \(\frac{10}{171}\)

= \(\frac{225}{171}\)

= 1 \(\frac{54}{171}\)

= 1 \(\frac{18}{57}\)