x + 16 7/8 = 24 51/104

Convert mixed numbers to improper fractions:

16 7/8 = 135/8

24 51/104 = 2555/104

Equation becomes: x + 135/8 = 2555/104

Find a common denominator (104):

135/8 = (135 * 13) / (8 * 13) = 1755/104

Equation becomes: x + 1755/104 = 2555/104

Solve for x:

x = 2555/104 - 1755/104

x = 800/104

Simplify the fraction (divide by 8):

x = 100/13

Convert back to a mixed number:

x = 7 9/13