Jared is putting a new deck off the kitchen. the deck will be 94.45 inches deep. he will use 16 boards that are each 5.7 inches wide. he has to leave a small space between the boards. if the 15 spaces between the boards are all equal, how wide will they be?

16 boards that are 5.7 inches wide each make a total of 91.20 inches.
 
    16
x 5.7
  112
+800
 91.2 inches

Since the deck itself is 94.45 inches deep, we can subtract 91.2 from the number:

  94.45
-91.20 
   3.25 inches.

Finally, we divide 3.25 by 15, since that's the amount of spaces we want and they have to be equal:

3.25/15= .21667

We'll round that to two numbers, so we'll end up with .22.

Your final answer is .22 inches wide for each space.