To begin, we will break down the statement into manageable portions.
Step 1: Consider the first portion, "One-fourth more than a number".
This can be expressed mathematically as
[tex]x+\frac{1}{4}[/tex]Step 2: The last portion equates the first potion to "two-thirds", basically
[tex]=\frac{2}{3}[/tex]Thus, combining all the portions, the equation is
[tex]x+\frac{1}{4}=\frac{2}{3}[/tex]