The product of two rational numbers is 2/5 , if one of them is -8/25, find the other. With steps explained.

Question

The product of two rational numbers is 2/5 , if one of them is -8/25, find the other.

With steps explained.

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Nem 4 years 2021-08-15T16:45:52+00:00 2 Answers 39 views 0

Answers ( )

  1. ngockhue
    0
    2021-08-15T16:47:31+00:00
    Reply

    \sf \bf {\boxed {\mathbb {GIVEN:}}}

    Product of two rational numbers = \frac{2}{5}

    One of the number = \frac{-8}{25}

    \sf \bf {\boxed {\mathbb {TO\:FIND:}}}

    The other number.

    \large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

    The other number is \frac{ - 5}{4} .

    \sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}

    Let the other number be x.

    As per the question, we have

    Product \: \: of \: \: the \: \: two \: \: rational \: \: numbers = \frac{2}{5} \\

    ➺ \: \frac{ - 8}{25} \times x = \frac{2}{5}\\

    ➺ \: x = \frac{2}{5} \times \frac{-25}{ 8}\\

    ➺ \: x = \frac{-50}{ 40} \\

    ➺ \: x = \frac{ - 5}{4}\\

    \sf\purple{Therefore,\:the\:other\:number\:is\: \frac{ - 5}{4} .}

    \sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}

    ➺ \: \frac{ - 8}{25} \times \frac{ - 5}{4} = \frac{2}{5} \\

    ➺ \: \frac{40}{100} = \frac{2}{5}\\

    ➺ \: \frac{2}{5} = \frac{2}{5}\\

    ➺ L. H. S. = R. H. S.

    Hence verified.

    \red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}

  2. thachthao
    0
    2021-08-15T16:47:31+00:00
    Reply

    Answer:

    x=-5/4

    Step-by-step explanation:

    Let the number be  x and y

         x.y=2/5    (The product of two rational numbers is 2/5)

    if  one of the number is  -8/25

    x.(-8/25)=2/5

    (Here Substituted the value of one of the number yoy may substitute the value -8/25 in place of x

    x=(2/5) *(-25/8)    

    x=-5/4  

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