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

Answers ( )

    0
    2021-08-17T08:54:53+00:00

    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

    0
    2021-08-17T08:54:57+00:00

    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}

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

    LCM = 20

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

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

    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}

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

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

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