Question

The product of two rational numbers is -14/27. If one of the numbers be 7/9, find the other.

Answer 1

Given one of the rational number is 7/9 
let the other number be x 
their product = -14/27 
⇒7×x/9 = -14/27
⇒7x = -126/27
⇒x = 18/27 .

Answer 2

Answer:

$Required \:other \: number \: (b) \\= \frac{-2}{3}$

Step-by-step explanation:

$Let \: a \: and \: b \: are \: \\ two \: rational \: numbers.$

$a = \frac{7}{9}$\* given \*

Now,

$ab= \frac{-14}{27}$

$\implies \frac{7}{9}\times b =\frac{-14}{27}$

$\implies b = \frac{-14}{27}\times \frac{9}{7}\\=\frac{-2}{3}$

Therefore,

$Required \:other \: number \: (b) \\= \frac{-2}{3}$

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