Question
Insert $3$ equivalent rational numbers between.
$\frac{-1}{2}$ and $\frac{1}{5}$
$\frac{-1}{2}$ and $\frac{1}{5}$
✓
Answer
Given, rational numbers are $-\frac{1}{2}$ and $\frac{1}{5}.$
For common denomiator, $LCM$ of $2$ and $5 = 10$
$\therefore\frac{-1\times5}{2\times5}=\frac{-5}{10}$ and
$\frac{1\times2}{5\times2}=\frac{2}{10}$
Hence, three equivalent rational numbers between
$\frac{-5}{10}$ and $\frac{2}{10}$ are
$\frac{-3}{10},\frac{-6}{20},\frac{-9}{30}.$
For common denomiator, $LCM$ of $2$ and $5 = 10$
$\therefore\frac{-1\times5}{2\times5}=\frac{-5}{10}$ and
$\frac{1\times2}{5\times2}=\frac{2}{10}$
Hence, three equivalent rational numbers between
$\frac{-5}{10}$ and $\frac{2}{10}$ are
$\frac{-3}{10},\frac{-6}{20},\frac{-9}{30}.$
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