Select the option that is related to the third term in the same way as the second term is related to the first term.
\(\frac{5}{9}\) : \(\frac{126}{728}\) : : \(\frac{3}{4}\) : ?
Answer & explanation
Correct answer: option 2
\(\frac{5^3}{9^3}\) ⇒ \(\frac{125 + 1}{729 - 1}\) \(\frac{difference add (1)}{difference minus (1)}\)
\(\frac{3^3}{4^3}\) = \(\frac{27 + 1}{64 - 1}\) = \(\frac{28}{63}\).
So correct answer is option b \(\frac{28}{63}\)