A carpenter needs to cut a board into 3 1/4 equal pieces. What fraction of the board will each piece be?

To find the fraction of the board each piece will be, divide the total length of the board by the number of pieces.

1. The total length of the board is \(3 \frac{1}{4}\), which can be converted to an improper fraction:

\[
3 \frac{1}{4} = \frac{13}{4}
\]

2. The board needs to be divided into equal pieces. Therefore, each piece will be:

\[
\frac{13}{4} \div 3 = \frac{13}{4} \times \frac{1}{3} = \frac{13}{12}
\]

Thus, each piece will be \(\frac{13}{12}\) of the board.

Would you like further clarification or have any additional questions?

Here are some related questions for further understanding:
1. How do you convert a mixed number into an improper fraction?
2. What is the process for dividing fractions?
3. How can you simplify the answer \(\frac{13}{12}\) into a mixed number?
4. If the board was 5 \(\frac{1}{2}\) feet long, how would the solution change?
5. What happens if you divide the board into 4 pieces instead?

**Tip:** Always convert mixed numbers to improper fractions when performing operations like division.

A carpenter needs to cut a board into 3 1/4 equal pieces. What fraction of the board will each piece be?

Learn how to calculate the fraction of a board when dividing it into equal parts. This problem covers fraction division, converting mixed numbers to improper fractions, and applying the division of fractions theorem. Suitable for students in Grades 5-7.

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