Question

Using appropriate properties of addition, find the following:
(i) $\frac{4}{5}+\frac{11}{7}+\frac{-7}{5}+\frac{-2}{7}$

• A. $\frac{24}{35}$
• B. $\frac{14}{35}$
• C. $\frac{34}{35}$
• D. $\frac{44}{35}$

Answer 1

The correct option is A $\frac{24}{35}$

(i) $\frac{4}{5}+\frac{11}{7}+\frac{-7}{5}+\frac{-2}{7}$

$\Rightarrow \frac{4}{5}+\frac{11}{7}-\frac{7}{5}-\frac{2}{7}$

$\Rightarrow$ L.C.M. $(5,7)=35$

$\Rightarrow \frac{4\times 7+11\times 5-7\times 7-2\times 5}{35}$

$\Rightarrow \frac{28+55-49-10}{35}$$=\frac{24}{35}$