Question

a metal rod will be cut into pieces that are each \\(\frac{1}{48}\\) meters long. the rod is \\(\frac{3}{8}\\) meters long. how many pieces will be made from the rod?

write your answer in simplest form.

Explanation:

Set up the division expression

$$ \text{Number of pieces} = \frac{3}{8} \div \frac{1}{48} $$

Multiply by the reciprocal

$$ \frac{3}{8} \div \frac{1}{48} = \frac{3}{8} \times 48 $$

Simplify the expression

$$ \frac{3 \times 48}{8} = 3 \times 6 = 18 $$

Answer:

A metal rod will be cut into pieces that are each \(\frac{1}{48}\) meters long. The rod is \(\frac{3}{8}\) meters long. How many pieces will be made from the rod?

Write your answer in simplest form.

<blank>18</blank> pieces