Question

If $0.85x=8.5$, what is the value of $\frac{1}{x}$?

Short answer

The value of $\frac{1}{x}$ is $0.1$.

Step-by-step solution

Step-1 – Apply the concept of reciprocal

For a real number x, the reciprocal of the number is $\frac{1}{x}$.

Step-2 –Simplify the expression

Consider the provided expression $0.85x=8.5$.

Divide both sides by x.

$\begin{array}{c}\frac{0.85x}{x}=\frac{8.5}{x}\\ 0.85=\frac{8.5}{x}\end{array}$

Step-3 –Evaluate the expression

Next divide both sides by 8.5.

$\begin{array}{c}\frac{0.85}{8.5}=\frac{8.5}{8.5\cdot x}\\ \frac{85\times 10}{85\times 100}=\frac{1}{x}\\ \frac{1}{10}=\frac{1}{x}\\ 0.1=\frac{1}{x}\end{array}$

Thus, the value of $\frac{1}{x}$is $0.1$.