Final answer:
The students Riley, Morgan, and Reggie each agreed to prepare one-third of the mural. The most straightforward division is Equal Parts, each being 1/3. Different Proportions and Unequal Shares provide hypothetical divisions if the agreement was changed, but these do not reflect the initial agreement of equal thirds.
Step-by-step explanation:
The question is asking to find different ways to divide a mural into pieces so that we can represent each student's contribution to preparing the mural with a fraction. We're given that Riley, Morgan, and Reggie each agreed to prepare one-third of the mural each.
One straightforward way to represent the divisions is through Equal Parts:
- Riley: 1/3
- Morgan: 1/3
- Reggie: 1/3
This means each student is responsible for an equal third of the mural.
However, it is also possible to represent their work with Different Proportions if we assume the question allows it:
- Riley: 1/4 (assuming Riley does a bit less)
- Morgan: 1/4 (assuming Morgan does a bit less)
- Reggie: 2/4 (assuming Reggie does more, equal to one half)
This would be based on a scenario where the division of labor was renegotiated. Note, though, that this does not mirror the equal thirds initially agreed upon.
The other suggested answer, Unequal Shares, provides yet another hypothetical division of labor, where they did not prepare equal parts:
- Riley: 2/7
- Morgan: 2/7
- Reggie: 3/7
These fractions give Reggie a slightly larger share of the work, possibly reflecting a later agreement where Reggie would take on a bit more of the mural.
The original agreement, however, was that each would do one-third, which matches the Equal Parts division. Without further context or confirmation that the division of labor was changed, we would typically stick to the original agreement which is represented as:
- Riley: 1/3
- Morgan: 1/3
- Reggie: 1/3