Question

how many 1 ½ by 3 pieces can you cut from a 3 × 9 sheet of plywood?
a. 9
b. 7
c. 8
d. 6

Explanation:

Step1: Convert mixed number to improper fraction

\(1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}\)

Step2: Calculate the number of pieces along the length

The length of the plywood is \(9\) feet. The length of each small piece is \(\frac{3}{2}\) feet. The number of pieces along the length \(n=\frac{9}{\frac{3}{2}}=9\times\frac{2}{3}=6\)

Answer:

D. 6