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The problem asks us to determine how many pieces Mr. Yamada gets from cutting a board of length \( \frac{7}{8} \) foot into pieces that are each \( \frac{1}{16} \) foot long.

To find the number of pieces, we need to divide the total length of the board by the length of each piece. This corresponds to the expression:

\[
\frac{7}{8} \div \frac{1}{16}
\]

This division of fractions can be simplified by multiplying by the reciprocal:

\[
\frac{7}{8} \times \frac{16}{1} = \frac{7 \times 16}{8 \times 1} = \frac{112}{8} = 14
\]

Therefore, Mr. Yamada will get 14 pieces from the board.

The correct expression to represent this is option **B**:

\[
\frac{7}{8} \div \frac{1}{16}
\]

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:
1. How do you divide fractions, and why do we multiply by the reciprocal?
2. Can you explain how to simplify fractions when multiplying?
3. If the board were \( \frac{9}{8} \) feet long, how many pieces would he get?
4. What would happen if each piece was \( \frac{1}{8} \) foot long instead?
5. How could you apply this concept in a real-world situation?

**Tip:** When dividing fractions, always multiply by the reciprocal of the second fraction to get the correct result.

Mr. Yamada has a board that is 7/8 foot long. He cuts the board into pieces that are 1/16 foot long. Which expression can be used to find the number of pieces that Mr. Yamada gets from cutting the board?

Learn how to find the number of pieces when a board 7/8 foot long is cut into pieces that are 1/16 foot long. This math problem involves dividing fractions by multiplying by the reciprocal and is suitable for students in Grades 5-7.

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