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Which two of the following situations can be represented by the fraction 4/9?

a) 4 out of 5 apples
b) 9 out of 13 marbles
c) 4 out of 9 squares
d) 7 out of 11 books

1 Answer

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Final answer:

The two situations that can be represented by the fraction 4/9 are none, because only situation c) 4 out of 9 squares matches the structure of the fraction. The other situations listed do not have a total of 9 items.

Step-by-step explanation:

To find which two situations can be represented by the fraction 4/9, we must look for scenarios where a total of nine items are considered, and four specific items are being represented out of those nine. Situation a) 4 out of 5 apples cannot be represented by 4/9 because the total number of items (apples) is 5, not 9. Similarly, situation b) 9 out of 13 marbles does not fit the fraction 4/9 as there are 13 marbles in total. However, situation c) 4 out of 9 squares correctly represents the fraction 4/9 as it deals with 9 squares in total, and 4 are being considered. Lastly, situation d) 7 out of 11 books does not match the fraction 4/9 because it involves 11 books in total.

The correct answers are situations that directly reflect the structure of the fraction 4/9, which is having a total of 9 parts and focusing on 4 of those parts. Therefore, the situation that can be represented by the fraction 4/9 is c) 4 out of 9 squares. To visualize this fraction, you can imagine a set of 9 equal-sized squares, and 4 of them are shaded or distinguished from the rest, which clearly depicts the fraction 4/9.

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