Question

A man first painted $\frac{4}{7}$ of the wall space in his room. After some time he painted $\frac{2}{5}$ of the wall space. How much did he able to paint ?

• A. $\frac{34}{33}$
• B. $\frac{34}{35}$
• C. $\frac{34}{35}$
• D. $\frac{24}{35}$

Answer 1

The correct option is B $\frac{34}{35}$

$\frac{4}{7}$, $\frac{2}{5}$ are unlike fractions because their denominators is different.
The L.C.M. of the denominators of the given fractions i.e. the LCM of 7 and 5 is 35.
$\therefore \frac{4}{7}+\frac{2}{5}=\frac{4\times 5+2\times 7}{35}=\frac{20+14}{35}=\frac{34}{35}$