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Place the following fractions in order from greatest to least: 3/4, 7/8, 9/11?

1) 9/11, 7/8, 3/4
2) 9/11, 3/4, 7/8
3) 7/8, 9/11, 3/4
4) 7/8, 3/4, 9/11
5) 3/4, 7/8, 9/11

1 Answer

2 votes

Final answer:

The Correct option is 4). To place the fractions 3/4, 7/8, and 9/11 in order from greatest to least, we can convert them to decimals and compare: 0.75 (3/4), 0.875 (7/8), and about 0.818 (9/11). The order is 7/8, 9/11, 3/4, matching option (4).

Step-by-step explanation:

To place the fractions 3/4, 7/8, and 9/11 in order from greatest to least, we must first compare their values. A helpful method is to convert these fractions to common denominators or to decimal values to make comparisons easier.

The fraction 3/4 is equal to 0.75, 7/8 is equal to 0.875, and 9/11 is approximately 0.818. Comparing these decimal values, we can see that 7/8 is the largest, followed by 9/11, and finally 3/4.

Therefore, the order from greatest to least is:
1) 7/8,
2) 9/11,
3) 3/4.

Looking at the answer choices, the correct one is (4) 7/8, 3/4, 9/11, as it presents the fractions in descending order correctly.

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