To determine whether the shaded portions of the diagrams represent equivalent fractions, we need to look at the values associated with each diagram.
If one diagram represents \( \frac{1}{3} \) and the other represents \( \frac{2}{3} \), then they are not equivalent. Similarly, if one represents \( \frac{2}{3} \) and the other \( \frac{1}{3} \), they are still not equivalent.
If both diagrams represent the same fraction, such as \( \frac{2}{3} \) or \( \frac{1}{3} \), then they are equivalent.
From the responses you provided, the options confirm that the fractions are not equivalent in the first two responses (both claiming one is \( \frac{1}{3} \) and the other \( \frac{2}{3} \)) and also in the last two responses. The option stating that both diagrams equal \( \frac{2}{3} \) or \( \frac{1}{3} \) indicates equivalence, which is marked incorrect.
Thus, if we analyze the options:
- If the diagrams show \( \frac{2}{3} \) and \( \frac{1}{3} \), or vice versa, the correct statement is: The fractions are not equivalent. The top diagram represents \( \frac{2}{3} \), and the bottom diagram represents \( \frac{1}{3} \).
You would select this answer or a similar one that accurately describes the relationship between the diagrams.
1 answer