What is the result of adding 6 3/4 and 8 1/6?

Rationale

Adding 6 3/4 and 8 1/6 results in 14 11/12.

To add the mixed numbers 6 3/4 and 8 1/6, we convert them into improper fractions, find a common denominator, and then perform the addition. The calculation leads to the sum of 14 11/12, confirming that this is the correct answer.

A (14 11/12) CORRECT

This option is correct as it accurately represents the sum of the two mixed numbers. First, 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 them, yielding 14 11/12.

B (12 3/24) YOUR ANSWER

This option is incorrect because it misrepresents the sum of the two numbers. The conversion from mixed numbers to improper fractions and the subsequent addition does not yield this result. Instead, it suggests an incorrect simplification or calculation error.

C (35/6) YOUR ANSWER

This choice is incorrect as it fails to account for the sum of the mixed numbers properly. While both fractions can be converted to a common denominator, the addition of 27/4 and 49/6 does not equal 35/6; rather, it results in a mixed number that encompasses both whole numbers and proper fractions.

D (14 2/5) YOUR ANSWER

This option is also incorrect, as it does not represent the correct result of the addition. The fraction part of 14 2/5 does not correspond to the calculations performed for 6 3/4 and 8 1/6, leading to a miscalculation of the proper fractional component of the sum.

Conclusion

Adding mixed numbers requires careful conversion and calculation to ensure accuracy. The correct sum of 6 3/4 and 8 1/6 is 14 11/12, obtained through proper addition of improper fractions. The other choices reflect either miscalculations or misunderstandings of the addition process, highlighting the importance of careful arithmetic in fraction addition.

What is the result of adding 6 3/4 and 8 1/6?

Adding 6 3/4 and 8 1/6 results in 14 11/12.

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