The value of x = 3/2
Step - by - Step Explanation
What to find? The value of x.
Given:
[tex]3x=\text{ 4 }\frac{1}{2}[/tex]To solve for x, first convert the right-hand side of the equation from a mixed number to an improper fraction.
That is;
[tex]3x=\frac{9}{2}[/tex]Multiply both-side of the equation by 1/3.
[tex]\frac{1}{\cancel{3}}\times\cancel{3}x=\frac{9}{2}\times\frac{1}{3}[/tex][tex]x=\frac{^{}\cancel{9}^3}{2}\times\frac{1}{\cancel{3}}[/tex][tex]x=\frac{3}{2}[/tex]