Question

What must be added to
$(\frac{1}{2}+\frac{1}{3}-\frac{1}{5})$
so that we get 3?

• A. $\frac{30}{91}$
• B. $\frac{23}{30}$
• C. $\frac{71}{30}$
• D. $\frac{19}{30}$

Answer 1

The correct option is C $\frac{71}{30}$

Given , the sum of the rational numbers is 3.
Let the number to be added be x .

$(\frac{1}{2}+\frac{1}{3}-\frac{1}{5})+x=3$
$\Rightarrow \frac{19}{30}+x=3$
$\Rightarrow \frac{19}{30}+x=3$
$x=3-\frac{19}{30}$

$\text{The required number is}\frac{71}{30}$ .