Step 1 :Given the fractions \(\frac{1}{2}\), \(\frac{5}{8}\), and \(\frac{3}{4}\)
Step 2 :Find a common denominator for all three fractions, which is the least common multiple of 2, 8, and 4
Step 3 :Convert each fraction to an equivalent fraction with the common denominator
Step 4 :Add or subtract the numerators as indicated
Step 5 :The final result is \(\boxed{\frac{5}{8}}\)