a metal rod will be cut into pieces that are each $\frac{1}{48}$ meters long. the rod is $\frac{3}{8}$…

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.

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.

Answer

Explanation:

Step1: Identify operation

To find the number of pieces, divide the total length by the length of each piece. So we need to calculate $\frac{3}{8}\div\frac{1}{48}$.

Step2: Use division - rule for fractions

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{3}{8}\div\frac{1}{48}=\frac{3}{8}\times48$.

Step3: Calculate the result

$\frac{3}{8}\times48 = 3\times6=18$.

Answer:

18