## Introductory Algebra for College Students (7th Edition)

$\frac{x}{4}= 2-\frac{x}{2}$
First identify the task. In this case, it is to express "two decreased by half of a number is $\frac{1}{4}$ of the number" as an equation. We are told to assume the number is "x". A method to solving this problem is to divide the given statement into sub parts and then combine each of these parts into an equation. "Half of a number" can be expressed as "$\frac{x}{2}$". "Two decreased by half of a number" can be expressed as "$2-\frac{x}{2}$". "Is equal to" reminds us to connect the two sides with an equals sign, "$=$". By putting these together, the answer is $\frac{x}{4}= 2-\frac{x}{2}$.