Question
George has a wooden board that is 3 1/4
feet long. He needs to cut it into sections that are 3/4
foot long. How many sections can he cut from this board?(1 point)
feet long. He needs to cut it into sections that are 3/4
foot long. How many sections can he cut from this board?(1 point)
Answers
GPT-4o mini
To determine how many sections of \( \frac{3}{4} \) foot long can be cut from a board that is \( 3 \frac{1}{4} \) feet long, we first need to convert \( 3 \frac{1}{4} \) feet into an improper fraction.
1. Convert \( 3 \frac{1}{4} \) to an improper fraction:
\[
3 \frac{1}{4} = 3 + \frac{1}{4} = \frac{12}{4} + \frac{1}{4} = \frac{13}{4} \text{ feet}
\]
2. Divide \( \frac{13}{4} \) feet by \( \frac{3}{4} \) feet to find the number of sections:
\[
\frac{13}{4} \div \frac{3}{4} = \frac{13}{4} \times \frac{4}{3} = \frac{13 \times 4}{4 \times 3} = \frac{13}{3}
\]
3. Calculate \( \frac{13}{3} \):
\[
\frac{13}{3} = 4 \frac{1}{3}
\]
Since George can only cut whole sections from the board, he can cut a total of **4 sections** of \( \frac{3}{4} \) foot each from the \( 3 \frac{1}{4} \) foot board.
Thus, the answer is **4 sections**.
1. Convert \( 3 \frac{1}{4} \) to an improper fraction:
\[
3 \frac{1}{4} = 3 + \frac{1}{4} = \frac{12}{4} + \frac{1}{4} = \frac{13}{4} \text{ feet}
\]
2. Divide \( \frac{13}{4} \) feet by \( \frac{3}{4} \) feet to find the number of sections:
\[
\frac{13}{4} \div \frac{3}{4} = \frac{13}{4} \times \frac{4}{3} = \frac{13 \times 4}{4 \times 3} = \frac{13}{3}
\]
3. Calculate \( \frac{13}{3} \):
\[
\frac{13}{3} = 4 \frac{1}{3}
\]
Since George can only cut whole sections from the board, he can cut a total of **4 sections** of \( \frac{3}{4} \) foot each from the \( 3 \frac{1}{4} \) foot board.
Thus, the answer is **4 sections**.