Question

A metal rod will be cut into pieces that are 1/56 each meters long. The rod is 7/8 meters long. How many pieces will be made from the rod?

Answer 1

To determine how many pieces of length \( \frac{1}{56} \) meters can be cut from a rod that is \( \frac{7}{8} \) meters long, we need to divide the total length of the rod by the length of each piece.

First, we perform the division:

\[
\text{Number of pieces} = \frac{\text{Length of rod}}{\text{Length of each piece}} = \frac{\frac{7}{8}}{\frac{1}{56}}
\]

Dividing by a fraction is equivalent to multiplying by its reciprocal:

\[
\frac{7}{8} \div \frac{1}{56} = \frac{7}{8} \times 56
\]

Next, we simplify \( \frac{7}{8} \times 56 \):

\[
\frac{7 \times 56}{8} = \frac{392}{8}
\]

Now we divide \( 392 \) by \( 8 \):

\[
392 \div 8 = 49
\]

Thus, the total number of pieces that can be cut from the rod is

\[
\boxed{49}
\]