Question

What should be added to twice the rational number $\frac{-7}{3}$ to get $\frac{3}{7}$ ?

• A. $\frac{100}{21}$
• B. $\frac{107}{21}$
• C. $\frac{170}{21}$
• D. None of these

Answer 1

The correct option is B $\frac{107}{21}$

Suppose $x$ be the rational number which is to be add.

According to the given condition,

$2\times \frac{-7}{3}+x=\frac{3}{7}⟹\frac{-14}{3}+x=\frac{3}{7}⟹x=\frac{3}{7}+\frac{14}{3}\left[Transposing\frac{-14}{3}toRHS\right]⟹x=\frac{3\times 3+14\times 7}{21}=\frac{9+98}{21}⟹x=\frac{107}{21}$