Question 30

The result of adding 2/3 + 4/9 is 10/9, which can also be expressed as 1 and 1/9.

When adding 2/3 and 4/9, the sum is 10/9, or 1 and 1/9, indicating that the total exceeds a whole.

A) 8/15

This option is incorrect because when adding two fractions, the denominators must be the same. The sum of 2/3 and 4/9 does not simplify to 8/15, as the correct calculation yields a different result.

B) 9/9 = 1

This choice is also incorrect. While 9/9 simplifies to 1, it does not represent the sum of 2/3 and 4/9. The actual sum is greater than 1, making this option not viable.

C) 6/12 = 1/2

This option is incorrect as well. 6/12 simplifies to 1/2, which is far less than the actual result of adding 2/3 and 4/9. The total is greater than 1, thus invalidating this answer.

D) 10/9 = 1 & 1/9

This option is correct. The addition of 2/3 and 4/9 results in 10/9, which can also be expressed as 1 and 1/9, accurately reflecting the total.

Conclusion

The correct answer, 10/9, represents the accurate sum of the two fractions, confirming that the total exceeds a whole. All other options fail to represent the true result of the addition, either falling short or misrepresenting the fractions involved. Thus, D is definitively the correct choice.