Choose the mixed numeral that is equivalent to this decimal 3.242424…

Question

Choose the mixed numeral that is equivalent to this decimal 3.242424…

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Doris 2 months 2021-07-30T17:06:03+00:00 1 Answers 5 views 0

Answers ( )

    0
    2021-07-30T17:07:37+00:00

    Answer:

    First, we can write:

    x

    =

    3

    .

    ¯¯¯¯

    24

    Next, we can multiply each side by  

    100

    giving:

    100

    x

    =

    324

    .

    ¯¯¯¯

    24

    Then we can subtract each side of the first equation from each side of the second equation giving:

    100

    x

    x

    =

    324

    .

    ¯¯¯¯

    24

    3

    .

    ¯¯¯¯

    24

    We can now solve for  

    x

    as follows:

    100

    x

    1

    x

    =

    (

    324

    +

    0

    .

    ¯¯¯¯

    24

    )

    (

    3

    +

    0

    .

    ¯¯¯¯

    24

    )

    (

    100

    1

    )

    x

    =

    324

    +

    0

    .

    ¯¯¯¯

    24

    3

    0

    .

    ¯¯¯¯

    24

    99

    x

    =

    (

    324

    3

    )

    +

    (

    0

    .

    ¯¯¯¯

    24

    0

    .

    ¯¯¯¯

    24

    )

    99

    x

    =

    321

    +

    0

    99

    x

    =

    321

    99

    x

    99

    =

    321

    99

    99

    x

    99

    =

    3

    ×

    107

    3

    ×

    33

    x

    =

    3

    ×

    107

    3

    ×

    33

    x

    =

    107

    33

    Now, we can convert this improper fraction to a mixed number:

    x

    =

    107

    33

    =

    99

    +

    8

    33

    =

    99

    33

    +

    8

    33

    =

    3

    +

    8

    33

    =

    3

    8

    33

    3

    .

    ¯¯¯¯

    24

    =

    3

    8

    33

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )