What is the result of adding: 6 3/4 + 8 1/6 = ?

Rationale

14 & 11/12 is the result of adding 6 3/4 and 8 1/6.

To solve the addition of mixed numbers, we first convert them to improper fractions, then find a common denominator, and finally perform the addition. The correct sum of 6 3/4 and 8 1/6 simplifies to 14 & 11/12.

A (14 & 11/12) CORRECT

This choice represents the correct sum of the two mixed numbers. Converting 6 3/4 to an improper fraction gives 27/4, and converting 8 1/6 yields 49/6. Finding a common denominator of 12, we convert 27/4 to 81/12 and 49/6 to 98/12, leading to a total of 179/12, which simplifies to 14 & 11/12.

B (12 & 3/24) YOUR ANSWER

This choice incorrectly suggests a sum that is much lower than the actual result. The fraction 3/24 also simplifies to 1/8, which does not relate to the addition of the two original mixed numbers. The calculation does not align with the proper addition of 6 3/4 and 8 1/6.

C (35/6) YOUR ANSWER

This choice represents an improper fraction that does not equate to the sum of the two mixed numbers. While 35/6 is a valid fraction, it does not correctly represent the addition of 6 3/4 and 8 1/6, which produces a sum significantly greater than 35/6.

D (14 & 2/5) YOUR ANSWER

This option also fails to capture the correct total from the addition. The fraction 2/5 does not reflect any calculations derived from the original numbers. The addition of the two mixed numbers results in a larger value than what is presented here.

Conclusion

The addition of 6 3/4 and 8 1/6 correctly results in 14 & 11/12 after properly converting and summing the values. The other options either provide incorrect sums or misrepresent the values derived from the addition process. Understanding how to add mixed numbers accurately is crucial for arriving at the correct answer.

What is the result of adding: 6 3/4 + 8 1/6 = ?

14 & 11/12 is the result of adding 6 3/4 and 8 1/6.

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