Asked by shhh
Which statement describes whether the shaded portions of the diagrams represent equivalent fractions?
(1 point)
Responses
The fractions are not equivalent. The top diagram represents 13
, and the bottom diagram represents 23
.
The fractions are not equivalent. The top diagram represents 1 third, and the bottom diagram represents 2 thirds. - no response given
The fractions are not equivalent. The top diagram represents 23
, and the bottom diagram represents 13
.
The fractions are not equivalent. The top diagram represents 2 thirds, and the bottom diagram represents 1 third. - no response given
The fractions are equivalent. Both diagrams are equal to 23
.
The fractions are equivalent. Both diagrams are equal to 2 thirds. - incorrect
The fractions are equivalent. Both diagrams are equal to 13
.
(1 point)
Responses
The fractions are not equivalent. The top diagram represents 13
, and the bottom diagram represents 23
.
The fractions are not equivalent. The top diagram represents 1 third, and the bottom diagram represents 2 thirds. - no response given
The fractions are not equivalent. The top diagram represents 23
, and the bottom diagram represents 13
.
The fractions are not equivalent. The top diagram represents 2 thirds, and the bottom diagram represents 1 third. - no response given
The fractions are equivalent. Both diagrams are equal to 23
.
The fractions are equivalent. Both diagrams are equal to 2 thirds. - incorrect
The fractions are equivalent. Both diagrams are equal to 13
.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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.
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.
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