Question
Which division problem does the model below show?
4 fraction bars. The fraction bars are labeled 1 and each have 6 boxes underneath labeled one-sixth.
4 divided by one-sixth = 24
4 divided by one-sixth = 12
24 divided by one-sixth = 4
12 divided by one-sixth = 4
4 fraction bars. The fraction bars are labeled 1 and each have 6 boxes underneath labeled one-sixth.
4 divided by one-sixth = 24
4 divided by one-sixth = 12
24 divided by one-sixth = 4
12 divided by one-sixth = 4
Answers
GPT-4o mini
The model you described shows a division problem involving the number 4 divided by a fraction, specifically one-sixth (1/6).
In this case, when you say "4 divided by one-sixth," it means you are trying to determine how many one-sixths are in 4.
To clarify the equations presented:
1. **4 divided by one-sixth = 24**: This is the correct interpretation. When you divide 4 by 1/6, you are essentially asking how many sixths fit into 4. Mathematically, this is calculated as:
\[
4 \div \left(\frac{1}{6}\right) = 4 \times 6 = 24
\]
2. **4 divided by one-sixth = 12**: This statement is incorrect based on the context. It does not align with the division of 4 by one-sixth.
3. **24 divided by one-sixth = 4**: This is incorrect. When you divide 24 by one-sixth, you are calculating how many sixths are in 24, which gives a different outcome.
4. **12 divided by one-sixth = 4**: This statement is also incorrect. Dividing 12 by one-sixth yields:
\[
12 \div \left(\frac{1}{6}\right) = 12 \times 6 = 72
\]
The key point here is that the valid division problem demonstrated by the model is **4 divided by one-sixth equals 24**.
In this case, when you say "4 divided by one-sixth," it means you are trying to determine how many one-sixths are in 4.
To clarify the equations presented:
1. **4 divided by one-sixth = 24**: This is the correct interpretation. When you divide 4 by 1/6, you are essentially asking how many sixths fit into 4. Mathematically, this is calculated as:
\[
4 \div \left(\frac{1}{6}\right) = 4 \times 6 = 24
\]
2. **4 divided by one-sixth = 12**: This statement is incorrect based on the context. It does not align with the division of 4 by one-sixth.
3. **24 divided by one-sixth = 4**: This is incorrect. When you divide 24 by one-sixth, you are calculating how many sixths are in 24, which gives a different outcome.
4. **12 divided by one-sixth = 4**: This statement is also incorrect. Dividing 12 by one-sixth yields:
\[
12 \div \left(\frac{1}{6}\right) = 12 \times 6 = 72
\]
The key point here is that the valid division problem demonstrated by the model is **4 divided by one-sixth equals 24**.