Question

The number which should be added to twice the rational number $-\frac{7}{3}$ to get $\frac{3}{7}$ is

• A. $\frac{105}{21}$
• B. $\frac{100}{21}$
• C. $\frac{107}{21}$
• D. $-\frac{89}{21}$

Answer 1

The correct option is C

$\frac{107}{21}$

Let the number be $x$
$x+2\left(\frac{-7}{3}\right)=\frac{3}{7}$
$\Rightarrow x+\left(\frac{-14}{3}\right)=\frac{3}{7}$
$\Rightarrow x=\frac{3}{7}+\frac{14}{3}\Rightarrow x=\frac{9+98}{21}\Rightarrow x=\frac{107}{21}$