Question

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 1

6 pieces

Explanation:

The length of the whole piece of wood
`=12 (1)/(8)` feet

The length of each small piece of wood
`=1 (13)/(16)` feet

Find the number of pieces that can be cut:

`12(1)/(8):1(13)/(16)\\ \\=(12\cdot 8+1)/(8):(1\cdot 16+13)/(16)\\ \\=(97)/(8):(29)/(16)\\ \\=(97)/(8)\cdot (16)/(29)\\ \\=(97\cdot 2)/(29)\\ \\=(194)/(29)\\ \\=6(20)/(29)`

Therefore, 6 pieces of wood can be cut.