The gap in the house is 5 ⅘ centimeters white another house's gap is only ⅞ centimeters wide. What is the difference of the gap lengths?

The difference in the gap lengths is 5 ⅘ - ⅞ = 29/5 cm - 7/8 cm = (232 - 35)/40 = 197/40 = 4 17/40 centimeters.