Question

a pipe is 10 feet long. it needs to be cut into pieces that are each \\(\frac{2}{5}\\) feet long. how many pieces can be made from the pipe?
write your answer in simplest form.
\\(\square\\) pieces

Explanation:

Step1: Determine the operation

To find the number of pieces, we divide the total length of the pipe by the length of each piece. So we need to calculate \(10\div\frac{2}{5}\).

Step2: Divide by a fraction

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of \(\frac{2}{5}\) is \(\frac{5}{2}\). So we have \(10\times\frac{5}{2}\).

Step3: Perform the multiplication

\(10\times\frac{5}{2}=\frac{10\times5}{2}=\frac{50}{2} = 25\).

Answer:

25