A carpenter has a board 18 1/2 feet long. He needs to cut as many 1 -3/4 feet long pieces as possible. How many pieces can the carpenter cut? Explain how you found your answer.
Easy if you convert to inches they need to cut 21 inches every time . you have 324 inches of board. 324/ 21 =15
Your answer would be he can only cut up to 15 pieces of board
Answer: Carpenter can cut 10 pieces.
Step-by-step explanation:
Given: The length of the board = \(18\frac{1}{2}\ feet=\frac{37}{2}\ feet\)
Also, He needs to cut as many \(1\frac{3}{4}\) feet long pieces as possible.
Then, the length of the pieces the carpenter can cut=\(\frac{37}{2}\div 1\frac{3}{4}\)
\(\\=\frac{37}{2}\div \frac{7}{4}\\=\frac{37}{2}\times\frac{4}{7}\\=\frac{74}{7}\\= 10.57142\approx10\)
Hence, the number of the pieces the carpenter can cut=10