Question 45

The sum of 6 3/4 and 8 1/6 is 14 & 11/12.

To find the sum of 6 3/4 and 8 1/6, we first convert both mixed numbers to improper fractions and then add them together, resulting in 14 & 11/12.

A) 14 & 11/12

This option is correct as it accurately represents the sum of 6 3/4 and 8 1/6. Converting 6 3/4 to an improper fraction gives 27/4, and converting 8 1/6 to an improper fraction results in 49/6. Finding a common denominator of 12 allows us to add these fractions, leading to a total of 14 & 11/12.

B) 12 & 3/24

This option is incorrect. While it appears to be a mixed number, it simplifies to 12 & 1/8, which does not reflect the correct sum of the two given numbers. The calculations do not align with the addition of the original fractions.

C) 35/6

This option is also incorrect. The fraction 35/6 does not represent the sum of the two mixed numbers. When converted to a mixed number, it equals 5 & 5/6, which is far less than the actual sum.

D) 14 & 2/5

This option is incorrect as well. The mixed number 14 & 2/5 translates to an improper fraction of 72/5, which does not correlate with the sum of the two mixed numbers. The correct calculation shows a different value altogether.

Conclusion

The correct answer, 14 & 11/12, is the only option that accurately represents the sum of 6 3/4 and 8 1/6. All other options fail to match the calculated value, either by miscalculating the fractions or representing incorrect mixed numbers. Therefore, Option A remains the definitive answer.