Subtract 28 3/4 - 5 5/6.

Rationale

Subtracting 28 3/4 and 5 5/6 results in 22 & 11/12.

To perform this subtraction, we first convert both mixed numbers into improper fractions. The calculation yields 22 & 11/12 as the final answer after simplifying.

A (23 & 1/2) YOUR ANSWER

This choice incorrectly suggests a value that is too high. When subtracting 5 5/6 from 28 3/4, the result cannot be 23 & 1/2 since this does not correctly reflect the difference between the two numbers.

B (22) YOUR ANSWER

This option is also incorrect as it fails to account for the fractional component remaining after the subtraction. The exact difference is 22 & 11/12, indicating that there are additional fractional parts that must be included in the final answer.

C (22 & 11/12) CORRECT

This is the correct answer, as it accurately represents the result of subtracting 5 5/6 from 28 3/4. The conversion of both mixed numbers to improper fractions followed by the subtraction yields this precise value.

D (34 & 1/12) YOUR ANSWER

This choice is incorrect because it suggests a value that exceeds the original number being subtracted from. Since we are subtracting a smaller number from a larger one, the result cannot possibly be greater than 28 3/4.

Conclusion

The correct subtraction of 28 3/4 and 5 5/6 leads to 22 & 11/12, as confirmed by proper calculation. Incorrect options either miscalculate the difference or fail to include the necessary fractional part, highlighting the importance of precise arithmetic in mixed number operations.

Subtract 28 3/4 - 5 5/6.

Subtracting 28 3/4 and 5 5/6 results in 22 & 11/12.

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