Question

Find the value of the variable.

$\frac{1}{3}a=2$

Short answer

The value of the variable is $\mathit{a}\mathbf{=}\mathbf{2}$.

Step-by-step solution

Step 1. Multiply by 3.

To find the value of variable a in the equation $\frac{1}{3}a=2$, multiply both sides of the equation by 3.

$\frac{1}{3}a\times \left(3\right)=2\times \left(3\right)$

Step 2. Simplify the equation.

To further simplify, cancel the common factors of 3 on the left-hand side.

$\begin{array}{l}\frac{3a}{3}=2\times 3\\ a=6\end{array}$

Step 3. Verify the value.

In order to verify the value of a substitute 6 for a into the equation $\frac{1}{3}a=2$.

$\begin{array}{l}\frac{1}{3}\times 6=2\\ 2=2\text{True}\end{array}$

Hence, the value of the variable is $a=6$.