5/4-4/8

To simplify the expression \( \frac{5}{4} - \frac{4}{8} \), we first convert \( \frac{4}{8} \) into its simplest form: \[ \frac{4}{8} = \frac{1}{2} \] Now our expression looks like: \[ \frac{5}{4} - \frac{1}{2} \] Next, we need a common denominator to subtract these fractions. The least common denominator (LCD) of 4 and 2 is 4. We will convert \( \frac{1}{2} \) to have a denominator of 4: \[ \frac{1}{2} = \frac{2}{4} \] Now we can perform the subtraction: \[ \frac{5}{4} - \frac{2}{4} = \frac{5 - 2}{4} = \frac{3}{4} \] Thus, the simplified result is: \[ \frac{3}{4} \]