What is the reciprocal of 2 3/4?

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Multiple Choice

What is the reciprocal of 2 3/4?

Explanation:
Reciprocal means the number that multiplies by the original to yield 1. For a mixed number, first convert to an improper fraction: 2 3/4 is 11/4. The reciprocal of 11/4 is 4/11, because (11/4) × (4/11) = 1. This result is less than 1, which fits since the original number was greater than 1. Other possibilities don’t multiply with 11/4 to get 1 (for example, the original 11/4 itself would give 1 only with its reciprocal, and some other fractions would have different reciprocals).

Reciprocal means the number that multiplies by the original to yield 1. For a mixed number, first convert to an improper fraction: 2 3/4 is 11/4. The reciprocal of 11/4 is 4/11, because (11/4) × (4/11) = 1. This result is less than 1, which fits since the original number was greater than 1. Other possibilities don’t multiply with 11/4 to get 1 (for example, the original 11/4 itself would give 1 only with its reciprocal, and some other fractions would have different reciprocals).

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