A= HCF of \(\frac{3}{4}\) and \(\frac{9}{16}\) and B= LCM of \(\frac{16}{9}\) and \(\frac{4}{25}\), then the value of A + B will be?

\(\frac{259}{16}\) \(\frac{70}{23}\) \(\frac{271}{80}\) \(\frac{260}{71}\)

\(\frac{259}{16}\)

\(\frac{3}{4}\), \(\frac{9}{16}\) → HCF = \(\frac{HCF}{LCM}\) = \(\frac{3}{16}\) \(\frac{16}{9}\), \(\frac{4}{25}\) → LCM = \(\frac{LCM}{HCF}\) = \(\frac{16}{1}\) Now, \(\frac{3}{16}\) + 16 = \(\frac{259}{16}\)