Chapter 8, Problem 1QC

To determine

To solve: The equation $\frac{5}{14}=\frac{1}{3}x$ and write in simplest form.

Answer to Problem 1QC

The solution of the equation is $\frac{15}{14}$ .

Explanation of Solution

Given information:

The given equation is $\frac{5}{14}=\frac{1}{3}x$ .

Calculation:

To solve the given equation multiply both sides by 3 and then simplify:

  $\begin{array}{l}\frac{5}{14}=\frac{1}{3}x\\ 3\cdot \frac{5}{14}=3\cdot \frac{1}{3}x\\ \frac{15}{14}=x\end{array}$

Hence,

The solution of the equation is $\frac{15}{14}$ .