The division problem represented by the model with 4 fraction bars labeled 1, each divided into six boxes labeled one-sixth can be interpreted as follows:
The model demonstrates that when you have 4 whole units and you divide each of those into sixths, you are effectively asking how many one-sixths are in 4 whole units.
In this case, since each whole unit can be divided into 6 one-sixths, you multiply:
\[ 4 \text{ whole units} \times 6 \text{ (one-sixths per whole unit)} = 24 \text{ one-sixths}. \]
So, the division problem you are asking about is:
\[ 4 \div \left(\frac{1}{6}\right) = 24. \]
This matches the first equation you provided: 4 divided by one-sixth = 24.
The other statements appear to be incorrect or confused, as you generally wouldn't have a scenario where:
- 4 divided by one-sixth equals 12, or
- 24 divided by one-sixth equals 4.
Thus, the correct division problem is indeed 4 divided by one-sixth equals 24.