A = LCM of \(\frac{3}{4}\) and \(\frac{9}{16}\) and B = HFC of \(\frac{16}{9}\) and \(\frac{4}{27}\) . Then the value of A + B will be?
Answer & explanation
Correct answer: option 1
A = \(\frac{LCM\;(3, 9)}{HCF\;(4, 16)}\) B = \(\frac{HCF\;(16, 4)}{LCM\;(9, 27)}\)
A = \(\frac{9}{4}\) B = \(\frac{4}{27}\)
A + B = \(\frac{9}{4}\) + \(\frac{4}{27}\)
= \(\frac{27 × 9 + 16}{27 × 4}\) = \(\frac{259}{108}\)