Question

the sum of two rational number is minus 3 upon 5 if one of the number is minus 9 upon 20 find the other rational number​

Answer 1

Other rational number is (-3/20).

Step-by-step explanation:

We are given that the sum of two rational number is minus 3 upon 5 if one of the number is minus 9 upon 20.

This means that;

Sum of two rational numbers = $\frac{-3}{5}$

One of the number = $\frac{-9}{20}$

And we have to find the other rational number.

Let the other rational number be $x$.

So, according to question;

                  Sum of two rational numbers = $\frac{-3}{5}$  

                  One number + Other number =  $\frac{-3}{5}$

                               $\frac{-9}{20} +x=\frac{-3}{5}$

   Taking LCM on left side of equation, we get;

                              $\frac{-9}{20} +\frac{20x}{20} =\frac{-3}{5}$

                              $\frac{-9 +20x}{20}=\frac{-3}{5}$

Now, using cross multiplication method;

                           $5(-9 +20x)=-3\times 20$

                            $-45 +100x=- 60$

                             $100x=- 60+45$

                              $100x = -15$

                                 $x = \frac{-15}{100}$ = $\frac{-3}{20}$

Therefore, the other rational number is  $\frac{-3}{20}$  or 0.15.

Answer 2

HERE YOU GO:)

Other rational number is (-3/20).

Step-by-step explanation:

We are given that the sum of two rational number is minus 3 upon 5 if one of the number is minus 9 upon 20.

This means that;

Sum of two rational numbers = \frac{-3}{5}

5

−3

One of the number = \frac{-9}{20}

20

−9

And we have to find the other rational number.

Let the other rational number be xx .

So, according to question;

Sum of two rational numbers = \frac{-3}{5}

5

−3

One number + Other number = \frac{-3}{5}

5

−3

\frac{-9}{20} +x=\frac{-3}{5}

20

−9

+x=

5

−3

Taking LCM on left side of equation, we get;

\frac{-9}{20} +\frac{20x}{20} =\frac{-3}{5}

20

−9

+

20

20x

=

5

−3

\frac{-9 +20x}{20}=\frac{-3}{5}

20

−9+20x

=

5

−3

Now, using cross multiplication method;

5(-9 +20x)=-3\times 205(−9+20x)=−3×20

-45 +100x=- 60−45+100x=−60

100x=- 60+45100x=−60+45

100x = -15100x=−15

x = \frac{-15}{100}x=

100

−15

= \frac{-3}{20}

20

−3

Therefore, the other rational number is \frac{-3}{20}

20

−3or 0.15.