Question

alice is cutting \\(\frac{5}{8}\\)-inch pieces from a piece of plywood that is 20 inches wide. how many equally sized pieces can she cut?

Explanation:

Step1: Identify the operation

To find the number of pieces, we divide the total width by the width of each piece. So we need to calculate \( 20\div\frac{5}{8} \).

Step2: Divide by a fraction

Dividing by a fraction is the same as multiplying by its reciprocal. So \( 20\div\frac{5}{8}=20\times\frac{8}{5} \).

Step3: Simplify the multiplication

First, simplify \( 20 \) and \( 5 \). \( 20\div5 = 4 \), so we have \( 4\times8 \).

Step4: Calculate the result

\( 4\times8 = 32 \).

Answer:

32