Question 20

14 11/12

Adding 6 3/4 and 8 1/6 results in 14 11/12. This sum is found by converting both mixed numbers into improper fractions, adding them, and then converting back to a mixed number.

A) 14 11/12

This option is correct as it accurately represents the sum of 6 3/4 and 8 1/6. The calculation involves converting both mixed numbers to improper fractions, finding a common denominator, and then summing them, leading to this precise result.

B) 12 3/24

This option is incorrect because it does not reflect the correct sum of the two mixed numbers. The fraction 3/24 simplifies to 1/8, which does not relate to the sum of 6 3/4 and 8 1/6.

C) 35/6

This option is also incorrect. While 35/6 is a valid improper fraction, it does not correspond to the proper mixed number result of adding 6 3/4 and 8 1/6, which is 14 11/12.

D) 14 2/5

This option is incorrect as well. The fraction 2/5 does not accurately represent the fractional part of the correct sum. The addition of 6 3/4 and 8 1/6 results in a different fraction that leads to 14 11/12.

Conclusion

The correct answer, 14 11/12, is definitively the right result of adding 6 3/4 and 8 1/6. The other options fail to provide either the correct mixed number or an equivalent improper fraction that accurately represents the sum of these two values.