This is a fraction subtraction problem.
9 5/8 − 5 3/4 = ?
You are starting with unlike denominators, so you have to make them the same before you subtract. That means changing the 3/4 to eights... it will be 6/8:
9 5/8 − 5 6/8 = ?
But now you are trying to take 6/8 from 5/8, which you can't do. You have to regroup one whole number from the 9 (leaving 8) and break it into 8/8... and add those to the 5/8 to get 13/8... so you have enough 8ths to do the subtraction:
8 13/8 - 5 6/8 =
Now you can finally subtract... remember to put the units (inches) on your answer:
8 13/8 - 5 6/8 = 3 7/8 inches