Question

Use the subtraction rule to rewrite the subtraction expression as an equivalent addition expression. Then evaluate the expression. $$ \frac{1}{2}-\frac{1}{4} $$

Short answer

\(\frac{1}{4}\)

Step-by-step solution

Rewrite the subtraction as an equivalent addition

The subtraction rule states subtraction is the same as adding the opposite. In this case, change \(\frac{1}{2} - \frac{1}{4}\) to \(\frac{1}{2} + -\frac{1}{4}\), evaluating to the same in order to apply this rule.

Simplify the expression

Next, add the fractions according to the normal rules of arithmetic fractions: \(\frac{1}{2} + -\frac{1}{4} = \frac{1}{2} - \frac{1}{4}\) is equivalent to \(\frac{2}{4} - \frac{1}{4}\). This expression simplifies further to \(\frac{1}{4}\).