A = Highest CommonFactor of $\frac{3}{4}$ and $\frac{9}{16}$
B = Least Common Multiple of $\frac{16}{5}$ and $\frac{4}{25}$
What is the value of A + B?

$\frac{271}{80}$

A = Highest CommonFactor of $\frac{3}{4}$ and $\frac{9}{16}$ = \(\frac{HCF \; of \;numerator }{LCM \; of \;denominator}\) = \(\frac{3}{16}\)

B = Least Common Multiple of $\frac{16}{5}$ and $\frac{4}{25}$ = \(\frac{LCM \; of \;numerator }{HCF \; of \;denominator}\) =  \(\frac{16}{5}\)

A + B = \(\frac{3}{16}\) + \(\frac{16}{5}\) = \(\frac{271}{80}\)