Question

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a metal rod will be cut into pieces that are each \\(\frac{1}{56}\\) 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 problem

To find the number of pieces, divide the total length of the rod by the length of one piece:
$$\frac{7}{8} \div \frac{1}{56}$$

Step2: Rewrite as multiplication

Dividing by a fraction is multiplying by its reciprocal:
$$\frac{7}{8} \times 56$$

Step3: Calculate the product

Simplify before multiplying: $56 \div 8 = 7$, so
$$7 \times 7 = 49$$

Answer:

49 pieces