Question

The product of two rational numbers is $\left(-\frac{28}{81}\right).$ If one of the number is $\frac{14}{27},$ then find the other number

• A. $\frac{2}{5}$
• B. $\frac{8}{17}$
• C. $-\frac{2}{3}$
• D. $-\frac{4}{3}$

Answer 1

The correct option is C

$-\frac{2}{3}$

Let us assume $a$ and $b$ are the two rational numbers

Given that the product of two rational numbers $=$$\left(-\frac{28}{81}\right).$

One number $=$$\frac{14}{27},$

Let $a=\frac{14}{27}$

So,

$a\times b=-\frac{28}{81}$

$\frac{14}{27}\times b=-\frac{28}{81}$

$b=\frac{-2\times 3}{9}$

$b=-\frac{6}{9}$

$b=-\frac{2}{3}$

Hence, the correct option is $\left(C\right)$