Question 14

8 5/23

The sum of 2 3/8 and 5 5/6 equals 8 5/23. This result is achieved by first converting both mixed numbers to improper fractions, performing the addition, and then simplifying the result to its mixed number form.

A) 7 5/24

This option is incorrect because it does not accurately represent the sum of the two mixed numbers. The calculations do not support this result when properly adding the fractions involved.

B) 7 5/7

This option is also incorrect. While it appears close to the correct sum, it underestimates the total when both mixed numbers are added together correctly.

C) 8 5/23

This is the correct answer. By converting 2 3/8 to 19/8 and 5 5/6 to 35/6, adding the two fractions gives a total of 73/24, which simplifies to the mixed number 8 5/23.

D) 8 4/7

This option is incorrect as it misrepresents the actual computation of the sum. The simplification of the fractions does not yield this result, indicating an error in the addition process.

Conclusion

The correct answer, 8 5/23, results from the accurate addition of the mixed numbers, reflecting proper computation and simplification. All other options fail to match this result due to either miscalculations or incorrect interpretations of the addition process.