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

Rationale

Adding 2/3 and 4/9 results in 1 (1/9).

To add the fractions 2/3 and 4/9, we first convert 2/3 to a fraction with a common denominator of 9, which gives us 6/9. Adding this to 4/9 results in 10/9, which can be expressed as 1 (1/9).

A (1 (1/9)) CORRECT

This choice correctly represents the sum of 2/3 and 4/9. After converting 2/3 to 6/9 and adding it to 4/9, the total is 10/9, which simplifies to 1 (1/9).

B (1 (1/3)) YOUR ANSWER

This option suggests that the sum of the two fractions equals 1 and 1/3. However, the actual sum of 2/3 and 4/9 is greater than 1, as calculated above, making this choice incorrect.

C (2/9) YOUR ANSWER

This choice indicates a sum of only 2/9, which is significantly lower than the actual total. The correct addition yields 10/9, demonstrating that this option fails to account for the proper calculation of the two fractions.

D (10/9) YOUR ANSWER

While this choice provides the accurate sum before converting to a mixed number, it does not reflect the proper form requested in the question, which is 1 (1/9). Thus, while mathematically correct, it does not align with the expected answer format.

Conclusion

The process of adding 2/3 and 4/9 yields a total of 10/9, which simplifies to 1 (1/9). Correctly identifying the sum involves understanding the need for a common denominator and recognizing how to express the result in mixed number form. The other options either misstate the sum or present it in an improper format, reinforcing the importance of accurate fraction addition.

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

Adding 2/3 and 4/9 results in 1 (1/9).

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