Question

The product of two rational number is -28/81.if one of the number is 14/27,then find the other number

Answer 1

product of two rational numbers = -28/81
one number given = 14/27
let number be  = x
according to the sum,
         x * 14/27 = -28/81
                     x = -28/81 / 14/27
                      x = -2/3
therefore other number is -2/3
brainliest pls....

Answer 2

The other number is $(-\dfrac{2}{3})$.

Step-by-step explanation:

Simply divide the product by one given number to get the other number.

So, the other number is

$(-\dfrac{28}{81})\div\dfrac{14}{27}$

$=-\dfrac{28}{81}\times\dfrac{27}{14}$

$=-\dfrac{\bold{14}\times 2}{\bold{27}\times 3}\times\dfrac{\bold{27}}{\bold{14}}$

$=-\dfrac{2}{3}$

Check step:

Product of the two numbers

$=\dfrac{14}{27}\times(-\dfrac{2}{3})$

$=-\dfrac{28}{81}$

Thus the answer is verified.

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