Answer
The required solution is False
Work Step by Step
We have the given algebraic expression:
$6+\frac{1}{x}=\frac{7}{x}$
We know that for an algebraic expression, a rational expression is an expression which can be expressed in the form $\frac{p}{q}$, where, both $p\ \text{and }q$ are polynomials and the denominator $q\ne 0$.
Now, solve the left-hand side of the given algebraic expression:
$\begin{align}
& 6+\frac{1}{x}=6\times \frac{x}{x}+\frac{1}{x} \\
& =\frac{6x}{x}+\frac{1}{x} \\
& =\frac{6x+1}{x}
\end{align}$
Thus, $6+\frac{1}{x}=\frac{6x+1}{x}$. Hence, the given statement is False.
