Question

Find ten rational no. Between -2/5 and 1/7

Answer 1

Dear Student ,

$$\begin{gathered} rationalnumbersbetween\frac{-2}{5}and\frac{1}{7}area,b,c,d,e,f,g,h,i,j \\ So,takingL.CMof5and7weget35 \\ Now,\frac{-2}{5}\times \frac{7}{7}=\frac{-14}{35} \\ and\frac{1}{7}\times \frac{5}{5}=\frac{5}{35} \\ Nowtenrationalnumbersbetween\frac{-14}{35}and\frac{5}{35}are \\ \frac{-12}{35},\frac{-10}{35},\frac{-8}{35},\frac{-7}{35},\frac{-5}{35},\frac{-2}{35},\frac{1}{35},\frac{2}{35},\frac{3}{35},\frac{4}{35} \\ Hence\frac{-2}{5}\boxed{<\frac{-12}{35}<\frac{-2}{7}<\frac{-8}{35}<\frac{-1}{5}<\frac{-1}{7}<\frac{-2}{35}<\frac{1}{35}<\frac{2}{35}<\frac{3}{35}<\frac{4}{35}<}\frac{1}{7} \end{gathered}$$

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