Question

Mark the correct alternative in each of the following:

$-2\frac{3}{7}+4=?$

(a) $\frac{-11}{7}$ (b) $\frac{11}{7}$ (c) $\frac{-45}{7}$ (d) $\frac{45}{7}$

Answer 1

$$\begin{gathered} ?=-2\frac{3}{7}+4 \\ \Rightarrow ?=-\frac{17}{7}+\frac{4}{1} \\ \Rightarrow ?=\frac{-17\times 1+4\times 7}{7} \\ \Rightarrow ?=\frac{-17+28}{7} \end{gathered}$$
$\Rightarrow ?=\frac{11}{7}$

Hence, the correct answer is option (b).