Directions for Questions 41 - 45: What value will come in place of the question mark (?) in the given questions?
$1\frac{8}{9}+3\frac{2}{7}-2\frac{1}{7}+11\frac{1}{6}=?$
$7\frac{12}{223}$
$14\frac{25}{223}$
$14\frac{25}{126}$
$7\frac{11}{126}$
None of these
Solution
$\begin{align}
& ?=1+\frac{8}{9}+3+\frac{2}{7}-2-\frac{1}{7}+11+\frac{1}{6} \\
& =(1+3-2+11)+\left( \frac{8}{9}+\frac{2}{7}-\frac{1}{7}+\frac{1}{6} \right) \\
& =13+\left( \frac{112+18+21}{126} \right) \\
& =13+\frac{151}{126}=14\frac{25}{126} \\
\end{align}$