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# Write the following rational numbers in ascending order: (ii) -1 / 3, 2 / 8, -4/3

Q 10.     Write the following rational numbers in ascending order:

(ii)         $\frac{-1}{3},\frac{2}{9}, \frac{-4}{3}$

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Given $\frac{-1}{3},\frac{2}{9}, \frac{-4}{3}$

LCM of $3,9\ and\ 3 = 9$.

Therefore, we have

$\frac{1\times3}{3\times3}, \frac{-2\times1}{9\times1}, \frac{-4\times3}{3\times3}$

$\Rightarrow \frac{3}{9}, \frac{-2}{9}, \frac{-12}{9}$

Since $\frac{-12}{9}<\frac{-2}{9}<\frac{3}{9}$

Hence, the required ascending order is

$\frac{-4}{3}<\frac{-2}{9}<\frac{1}{3}$

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