Question 26

11 & 1/2

Dividing 5 & 3/4 by 1/2 results in 11 & 1/2 when simplified. This can be calculated by converting the mixed number into an improper fraction and then performing the division.

A) 5 & 1/2

This option is incorrect because 5 & 1/2 represents a number less than the result of the division. When dividing 5 & 3/4 by 1/2, the answer must be greater than 5 & 1/2.

B) 2 & 3/8

This option is also incorrect as it is significantly less than the expected result. The division of 5 & 3/4 by 1/2 does not yield a number as low as 2 & 3/8.

C) 11 & 1/2

This is the correct answer. When performing the division, 5 & 3/4 can be converted to the improper fraction 23/4. Dividing by 1/2 is equivalent to multiplying by 2, resulting in (23/4) * 2 = 46/4, which simplifies to 11 & 1/2.

D) 18

This option is incorrect because 18 is much larger than the result of dividing 5 & 3/4 by 1/2. The calculations do not support an outcome of 18.

Conclusion

The correct answer, 11 & 1/2, accurately reflects the result of dividing 5 & 3/4 by 1/2, while all other options fall short either by underestimating or overestimating the result. The calculations confirm that 11 & 1/2 is the simplest form of the division performed.