Question

Devon has two wood boards that are the same length. He divides each board into

three equal pieces. He uses 5 of those pieces in a project. The fraction shows the
fraction of the wood boards Devon used. Which is another way to show this amount?

Answer 1

Devon divided two wood boards into six pieces and used five, representing 5/6 of the total. Alternatively, this equals 5/3 pieces per board, which can be considered as 1.67 boards used.

Step-by-step explanation:

Devon has two equal-length wood boards that he cuts into three equal pieces each, resulting in a total of six pieces. He uses five of these pieces in a project, so the fraction of wood boards he used can be represented as 5/6. Another way to show the same amount is by considering that each board can be thought of as 3/3 (since each board is divided into three equal parts), and since Devon uses five out of the six pieces, it is like he has used 5/3 (one whole board plus two-thirds of the second board) or approximately 1.67 boards.