Question

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.

Answer 1

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 2

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