To solve the expression \( \frac{5}{8} + 0.125 \), we first recognize that \( 0.125 \) can be converted into a fraction.
We know that: \[ 0.125 = \frac{125}{1000} = \frac{1}{8} \]
Now we can rewrite the expression: \[ \frac{5}{8} + \frac{1}{8} \]
Since both fractions have the same denominator, we can simply add the numerators: \[ \frac{5 + 1}{8} = \frac{6}{8} \]
Next, we can simplify \( \frac{6}{8} \) by dividing both the numerator and the denominator by 2: \[ \frac{6 \div 2}{8 \div 2} = \frac{3}{4} \]
Thus, the result of the expression \( \frac{5}{8} + 0.125 \) is \( \frac{3}{4} \).
If needed, as a decimal, \( \frac{3}{4} = 0.75 \).