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:

\[ \frac{3}{4} \]