Arrange the following rational numbers in descending order
$-\frac{3}{10} ,\frac{-7}{-5}, \frac{9}{-15}, 1\frac{8}{30}$.


Given: 
 The numbers given are 

$-\frac{3}{10} ,\frac{-7}{-5}, \frac{9}{-15}, 1\frac{8}{30}$.

To do: Arrange the following rational numbers in descending order

SOlution:

=$-\frac{3}{10} ,\frac{-7}{-5}, \frac{9}{-15}, 1\frac{8}{30}$.

=$-\frac{3}{10} ,\frac{7}{5}, \frac{9}{-15}, \frac{38}{30}$.

=LCM of 10, 5,15,30 is 30

=$\frac{3x3}{30} ,\frac{7\times6}{30},\frac{9\times(-2)}{30},\frac{38}{30}$

=$\frac{9}{30} ,\frac{42}{30},\frac{-18}{30},\frac{38}{30}$

The descending order is
$ \frac{38}{30}, \frac{42}{30},\frac{9}{30},\frac{-18}{30}$

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Updated on: 10-Oct-2022

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