Question 41

Adding 4/3 and 7/3 results in 3 2/3.

When you add the fractions 4/3 and 7/3, you combine their numerators while keeping the denominator the same, yielding (4 + 7)/3 = 11/3, which can be converted to a mixed number of 3 2/3.

A) 3 2/3

This option is correct because the sum of 4/3 and 7/3 equals 11/3, which simplifies to the mixed number 3 2/3, confirming that the addition was performed correctly.

B) 1 5/6

This option is incorrect because 1 5/6 is equivalent to 11/6, which does not represent the sum of 4/3 and 7/3. The calculations show that the correct result is greater than this value.

C) 2 1/3

This option is also incorrect as 2 1/3 equals 7/3. The result of adding 4/3 and 7/3 exceeds this total, indicating that this option does not represent the correct answer.

D) 1 1/6

This option is incorrect as 1 1/6 is equivalent to 7/6, which is significantly less than the sum of 4/3 and 7/3. Therefore, it cannot be the correct result of the addition.

Conclusion

The correct answer, 3 2/3, represents the accurate result of the addition of 4/3 and 7/3. All other options fail to represent the correct sum, either being lesser or incorrect mixed numbers that do not correspond to the calculated total of 11/3.