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

Rationale

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

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

A (14 & 11/12) CORRECT

This choice represents the correct sum obtained by converting the mixed numbers to improper fractions (27/4 + 49/6), finding a common denominator, and simplifying the result.

B (12 & 3/24) YOUR ANSWER

This option incorrectly simplifies the sum of the two mixed numbers. Converting mixed numbers to improper fractions and adding them does not lead to this result, which also simplifies to 12 & 1/8, but is not the correct total.

C (35/6) YOUR ANSWER

This choice represents the sum of the improper fractions but is not expressed as a mixed number, nor does it simplify correctly to match the sum of 6 3/4 and 8 1/6. The equivalent improper fraction for the correct sum is 179/12, which is not equal to 35/6.

D (14 & 2/5) YOUR ANSWER

This answer miscalculates the addition of the two mixed numbers. While it seems plausible, converting the fractions correctly shows that the sum does not yield this mixed number but rather results in 14 & 11/12.

Conclusion

When calculating the sum of mixed numbers, accurate conversion to improper fractions and careful addition are crucial. The correct total of 6 3/4 and 8 1/6 is 14 & 11/12, confirming that choice A accurately represents the sum while all other options fail to reflect the proper calculations.

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

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

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