What is the result of adding 2/3 + 4/9?

Rationale

10/9 = 1 & 1/9.

To add the fractions 2/3 and 4/9, we first find a common denominator. The least common denominator for 3 and 9 is 9. Converting 2/3 to 6/9 allows us to add it to 4/9, resulting in 10/9, which can be expressed as 1 & 1/9.

A (8/15) YOUR ANSWER

This choice represents an incorrect sum of the fractions. When adding fractions, the denominators must be the same. In this case, 8/15 does not relate to the correct denominators of 3 and 9, leading to an inaccurate result.

B (9/9 = 1) YOUR ANSWER

While 9/9 equals 1, it does not reflect the correct sum of the fractions given in the question. The actual sum of 2/3 and 4/9 is greater than 1, specifically 10/9, which indicates that this choice is not valid.

C (6/12 = 1/2) YOUR ANSWER

This choice simplifies to 1/2, which is also incorrect for the addition of the two fractions. The correct addition yields 10/9, and thus, 6/12 does not accurately represent the result.

D (10/9 = 1 & 1/9) CORRECT

This option correctly states the result of adding 2/3 and 4/9. After converting 2/3 to a common denominator and performing the addition, we find that it equals 10/9, which can be expressed as 1 and 1/9.

Conclusion

The addition of 2/3 and 4/9 results in 10/9, which can be represented as 1 & 1/9. This emphasizes the importance of finding a common denominator when adding fractions. The other options either miscalculate the sum or present incorrect simplifications, reinforcing the necessity of accurate fraction addition methods.

What is the result of adding 2/3 + 4/9?

10/9 = 1 & 1/9.

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