Question

Find the value of the variable.

$\frac{3}{4}a=9$

Short answer

The value of the variable is $\mathit{a}\mathbf{=}\mathbf{12}$.

Step-by-step solution

Step 1. Multiply by 43.

To find the value of the variable a in the equation $\frac{3}{4}a=9$, multiply both sides of the equation by $\frac{4}{3}$.

$\left(\frac{4}{3}\right)\times \frac{3}{4}a=\left(\frac{4}{3}\right)\times 9$

Step 2. Simplify the equation.

To further simplify, cancel the common factors of 3 and 4 on both sides.

$\begin{array}{l}a=4\times 3\\ =12\end{array}$

Step 3. Verify the value.

In order to verify the value of a, substitute 12 for a into the equation $\frac{3}{4}a=9$.

$\begin{array}{l}\frac{3}{4}\times 12=9\\ 9=9\text{True}\end{array}$

Hence, the value of the variable is $a=12$.