Question

What should be added to twice the rational number -7/3 to get 3/7

Answer 1

Dear student,
Here is the solution of your asked query:
$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{added}\mathrm{be}\mathrm{x}. \\ \mathrm{twice}\mathrm{the}\mathrm{rational}\mathrm{number}\frac{-7}{3}=2\times \frac{-7}{3}=\frac{-14}{3} \\ \mathrm{So}\mathrm{we}\mathrm{have}; \\ \mathrm{x}+\left(\frac{-14}{3}\right)=\frac{3}{7} \\ \Rightarrow \mathrm{x}-\frac{14}{3}=\frac{3}{7} \\ \Rightarrow \mathrm{x}=\frac{3}{7}+\frac{14}{3}=\frac{9+98}{21}=\frac{107}{21} \\ \mathrm{So}\mathrm{the}\mathrm{number}\mathrm{added}\mathrm{is}\frac{107}{21} \end{gathered}$$
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