QUESTION

# The product of two rational numbers is $\dfrac{7}{9}$. If one of the numbers is $-\dfrac{14}{27}$. Find the other number?

In mathematics, the number system is the branch that deals with various types of numbers possible to form and easy to operate with different operators such as addition, multiplication and so on. Rational numbers are those numbers which can be represented in the form of $\dfrac{p}{q}$, where p is the numerator and q is the denominator. P and Q may belong to any of the three categories such as natural, whole or integers.
From the second part of the problem statement, one of the numbers is $-\dfrac{14}{27}$. Now, considering the first part of the statement and letting the other number be x:
\begin{align} & -\dfrac{14}{27}x=\dfrac{7}{9} \\ & x=\dfrac{7}{9}\times -\dfrac{27}{14} \\ & x=-\dfrac{3}{2} \\ \end{align}
So, the other number obtained is $-\dfrac{3}{2}$.