Question

Arrange in ascending order:. 1/3,-2/9,-4/3​

Answer 1

Step-by-step explanation:

1/3 , -4/3, -2/9

This is the exact ascending order.

Answer 2

SOLUTION

TO DETERMINE

To Arrange in ascending order the below numbers

$\displaystyle \sf{ \frac{1}{3} \: , \: - \frac{2}{9} \: , \: - \frac{4}{3} }$

EVALUATION

Here the given numbers are

$\displaystyle \sf{ \frac{1}{3} \: , \: - \frac{2}{9} \: , \: - \frac{4}{3} }$

Now the denominators are 3, 9, 3

∴ LCM of the denominators = 9

Therefore

$\displaystyle \sf{ \frac{1}{3} \: = \frac{1 \times 3}{3 \times 3} = \frac{3}{9} }$

$\displaystyle \sf{ - \frac{2}{9} \: = - \frac{2 \times 1}{9 \times 1} = - \frac{2}{9} }$

$\displaystyle \sf{ - \frac{4}{3} \: = - \frac{4 \times 3}{3 \times 3} = - \frac{12}{9} }$

$\displaystyle \therefore \sf{ \: \: \: - \frac{12}{9} < - \frac{2}{9} < \frac{3}{9} }$

$\displaystyle \therefore \sf{ \: \: \: - \frac{4}{3} < - \frac{2}{9} < \frac{1}{3} }$

Hence on Rearranging the given numbers in the ascending order we get $\displaystyle \sf{ - \frac{4}{3} \: , \: - \frac{2}{9} \: , \: \frac{1}{3} }$

FINAL ANSWER

Hence the required ascending order is

$\displaystyle \sf{ - \frac{4}{3} \: , \: - \frac{2}{9} \: , \: \frac{1}{3} }$

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