Answer
2 inches
Work Step by Step
First, the lowest common denominator of the three fractions that make up the width is found. 16 is the lowest number divisible by 16 and 8, so it is the LCD.
Next, the fractions are multiplied so that their denominators are equal to the LCD. The first dimension, $\frac{11}{16}$ inches, already has the LCD as its denominator, so it is not necessary to multiply it by anything, the second dimension, $\frac{5}{8}$, is multiplied by 2, so that it is now equal to $\frac{10}{16}$, and the third fraction, $\frac{11}{16}$, also already has the LCD as its denominator, so it is not necessary to multiply it by anything.
The three new fractions we have, $\frac{11}{16}$, $\frac{10}{16}$ and $\frac{11}{16}$, are added together to get a sum of $\frac{32}{16}$, which when simplified is equal to 2. Therefore, the width marked in the diagram is equal to 2 inches.