Question 29

The result of subtracting 28 3/4 from 5 5/6 is 22 & 11/12.

To find the result of subtracting 28 3/4 from 5 5/6, we convert both mixed numbers into improper fractions and perform the subtraction, which yields 22 & 11/12.

A) 23 & 1/2

Option A is incorrect because the calculated result does not match this value. The subtraction does not yield 23 & 1/2; instead, it results in a lower value, specifically 22 & 11/12.

B) 22

Option B is also incorrect as the result of the subtraction is not a whole number. The actual answer is 22 & 11/12, which confirms that the subtraction produces a fraction, indicating that this option fails to capture the precise outcome.

C) 22 & 11/12

Option C is correct. The calculation shows that subtracting 28 3/4 from 5 5/6 results in 22 & 11/12. This value is accurate and reflects the proper conversion and arithmetic performed on the mixed numbers.

D) 34 & 1/12

Option D is incorrect because it suggests a result that is significantly larger than the actual outcome. The subtraction of a larger number from a smaller number cannot yield a positive result as high as 34 & 1/12.

Conclusion

The correct answer, 22 & 11/12, is the only option that accurately reflects the result of the subtraction operation. All other options either misrepresent the magnitude of the result or do not account for the fractional component that arises from the calculation. Thus, Option C is definitively the correct choice.