Question 48

14 & 11/12

By adding the mixed numbers 6 3/4 and 8 1/6, the result is 14 and 11/12. This calculation involves converting each mixed number to an improper fraction, performing the addition, and then simplifying the result.

A) 14 & 11/12

This option is correct as it accurately represents the sum of 6 3/4 and 8 1/6. The calculations yield an improper fraction that converts back to this mixed number.

B) 12 & 3/24

This option is incorrect. Although it appears to be a mixed number, it does not correctly represent the sum of the two given fractions. The simplification of the components does not match the expected result.

C) 35/6

This option is incorrect as well. While 35/6 is a valid fraction, it does not convert back to the mixed number format expected from the addition of 6 3/4 and 8 1/6. The result should be presented in a mixed number format that corresponds to the addition.

D) 14 & 2/5

This option is also incorrect. The mixed number 14 & 2/5 does not reflect the correct total obtained from the addition of the two fractions. The addition yields a different fraction that translates into a different mixed number.

Conclusion

The correct answer, 14 & 11/12, is the accurate representation of the sum of 6 3/4 and 8 1/6. All other options fail to provide the correct total either by miscalculating the sum or by not converting the fractions appropriately into a mixed number format. Thus, A is definitively the right choice.