## Which is the correct descending order of the following rational numbers : − 2, 4/(- 5) , 11/20 , 3/4 ?

Question

Which is the correct descending order of the following rational numbers : − 2, 4/(- 5) , 11/20 , 3/4 ?

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1 month 2021-08-17T08:53:09+00:00 2 Answers 0 views 0

1. Step-by-step explanation:

First, make the denominator of all the numbers same and then arrange the numerators in descending order.

-2, \dfrac{4}{-5}, \dfrac{11}{20}, \dfrac{3}{4}−2,

−5

4

,

20

11

,

4

3

\dfrac{-2}{1}, \dfrac{-4}{5}, \dfrac{11}{20}, \dfrac{3}{4}

1

−2

,

5

−4

,

20

11

,

4

3

LCM = 20

\dfrac{-2 \times 20 }{1\times20}, \dfrac{-4\times4}{5\times4}, \dfrac{11\times1}{20\times1}, \dfrac{3\times5}{4\times5}

1×20

−2×20

,

5×4

−4×4

,

20×1

11×1

,

4×5

3×5

\dfrac{-40}{20}, \dfrac{-16}{20}, \dfrac{11}{20}, \dfrac{15}{20}

20

−40

,

20

−16

,

20

11

,

20

15

Since the denominators are same, we can arrange the numbers in descending order according to the numerators.

Descending order – \dfrac{15}{20}, \dfrac{11}{20}, \dfrac{-16}{20}, \dfrac{-40}{20}

20

15

,

20

11

,

20

−16

,

20

−40

Therefore, the descending order of the original numbers is as follows :-

\dfrac{3}{4}, \dfrac{11}{20}, \dfrac{4}{-5}, -2

4

3

,

20

11

,

−5

4

,−2

2. First, make the denominator of all the numbers same and then arrange the numerators in descending order.

LCM = 20

Since the denominators are same, we can arrange the numbers in descending order according to the numerators.

Descending order –

Therefore, the descending order of the original numbers is as follows :-