David has a piece of wood measuring 12 1/8 feet that he wants to use for a project. He needs to cut the wood into pieces that measure 1 13/16 feet.

How many pieces of wood can he cut measuring exactly 1 13/16 feet?

Answer :

bawbdmo

So, it would be the wisest to work in decimals for this problem.

[tex] 12\frac{1}{8}=12.125\\
1\frac{13}{16}=1.8125 [/tex]

So we have to divide 12.125 by 1.8125 to see how many times the latter goes into the former.[tex] \frac{12.125}{1.8125}\approx 6.68965517 [/tex]

So, since the problem asks for how many lengths can go in without remainder, our answer would simply be 6.