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user100 [1]
2 years ago
12

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

Mathematics
2 answers:
Brilliant_brown [7]2 years ago
5 0

\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☂}}}}}

Sergio [31]2 years ago
3 0

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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