Question

a metal rod will be cut into pieces that are each \\(\frac{1}{36}\\) meters long. the rod is \\(\frac{7}{8}\\) meters long. how many pieces will be made from the rod? write your answer in simplest form. \\(\square\\) pieces

Explanation:

Step1: Set up division for pieces

To find the number of pieces, divide the total rod length by the length of one piece:
$$\frac{7}{8} \div \frac{1}{36}$$

Step2: Rewrite as multiplication by reciprocal

Dividing by a fraction is multiplying by its reciprocal:
$$\frac{7}{8} \times 36$$

Step3: Simplify and calculate

Simplify $\frac{36}{8}$ to $\frac{9}{2}$, then multiply:
$$7 \times \frac{9}{2} = \frac{63}{2}$$

Answer:

$\frac{63}{2}$ or 31.5 pieces