Question

In the following exercises, solve.

$\frac{2.8}{k}=\frac{2.1}{1.5}$

Short answer

The simplification of $\frac{2.8}{k}=\frac{2.1}{1.5}$is $k=2$

Step-by-step solution

Step 1. Given Information

An expression:
$\frac{2.8}{k}=\frac{2.1}{1.5}$

Step 2. Isolate the variable.

To isolate the variable, multiply both sides by the LCD $1.5k$

$\frac{2.8}{k}\times 1.5k=\frac{2.1}{1.5}\times 1.5k$

Step 3. Simplify the expression

By simplification,

$$\begin{gathered} 2.1k=2.8\times 1.5 \\ k=\frac{2.8\times 1.5}{2.1} \\ =2 \end{gathered}$$

Step 4. Check the answer

To check our answer, we substitute into the original proportion.

$$\begin{gathered} \frac{2.8}{k}=\frac{2.1}{1.5} \\ \frac{2.8}{2}=\frac{2.1}{1.5} \\ 1.4=1.4 \end{gathered}$$