Question 11

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

To solve the subtraction of 28 3/4 and 5 5/6, the result is 22 & 11/12. This calculation involves converting both fractions to a common denominator before performing the subtraction.

A) 23 & 1/2

This option is incorrect as it does not accurately reflect the result of the subtraction. When calculating 28 3/4 - 5 5/6, the proper method yields a result much closer to 22 & 11/12 rather than 23 & 1/2.

B) 22

While this option is close to the correct answer, it fails to account for the fractional part of the result. The exact calculation shows that the result is slightly more than 22, specifically 22 & 11/12.

C) 22 & 11/12

This is the correct answer. The subtraction of 28 3/4 and 5 5/6, once converted to a common denominator and calculated, results in 22 & 11/12, accurately representing the difference between the two mixed numbers.

D) 34 & 1/12

This option is incorrect as it represents a number greater than either of the original mixed numbers. The result of subtracting a larger fraction from a smaller one cannot exceed the first number, making this option invalid.

Conclusion

The correct answer is 22 & 11/12, as it accurately reflects the result of the subtraction process between 28 3/4 and 5 5/6. All other options either misrepresent the result or do not align with the calculations performed, confirming that C is the definitive correct choice.