Step 1 :Convert the fractions to decimal form.
Step 2 :\(\frac{11}{16}\) is approximately 0.6875 and \(\frac{7}{8}\) is approximately 0.875.
Step 3 :Compare the decimal values of the two fractions.
Step 4 :0.875 is greater than 0.6875.
Step 5 :Therefore, the measurement \(\frac{7}{8}\) in. is longer.
Step 6 :\(\boxed{\frac{7}{8}\text{ in.}}\) is the final answer.