Question

3x=4 1/2 I need help to solve for x

Answer 1

We need to solve the equation:

$3x=4\frac{1}{2}$

First, notice that the mixed number 4 1/2 can be written as:

$4\frac{1}{2}=4+\frac{1}{2}$

Now, we can solve the equation for x by dividing both sides of the equation by 3. We obtain:

$\begin{gathered} \frac{3x}{3}=\frac{\mleft(4+\frac{1}{2}\mright)}{3} \\ \\ x=\mleft(4+\frac{1}{2}\mright)\cdot\frac{1}{3} \\ \\ x=4\cdot\frac{1}{3}+\frac{1}{2}\cdot\frac{1}{3} \\ \\ x=\frac{4}{3}+\frac{1}{6} \\ \\ x=\frac{8}{6}+\frac{1}{6} \\ \\ x=\frac{9}{6} \\ \\ x=\frac{3}{2} \\ \\ x=1\frac{1}{2} \end{gathered}$

Therefore, the solution is:

$\mathbf{x=1\frac{1}{2}}$