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Arrange the following rational numbers in ascending order:
(A) $$\frac{-4}{5}$$
(B) $$\frac{-5}{12}$$
(C) $$ \frac{-7}{18}$$
(D) $$\frac{-2}{3}$$
We have :
$$-\frac{4}{5}\ ,\ -\frac{5}{12}\ ,\ -\frac{7}{18}\ ,\ -\frac{2}{3}$$
Now LCM is 180
so we get :
$$-\frac{144}{180}\ ,\ -\frac{75}{180}\ ,\ -\frac{70}{180}\ ,\ -\frac{120}{180}$$
Now arranging in ascending order
we get :
$$-\frac{144}{180}\ <\ -\frac{120}{180}<-\frac{75}{180}<-\frac{70}{180}$$
so order is A<D<B<C
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