Question 46

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

When you add 2/3 and 4/9, you first need to find a common denominator. The least common denominator for 3 and 9 is 9. Converting 2/3 to a fraction with a denominator of 9 gives you 6/9. Then, adding 6/9 and 4/9 results in 10/9, which can be expressed as 1 (1/9).

A) 1 (1/9)

This option is indeed correct. After adding the fractions, the sum equals 10/9, which is equivalent to 1 (1/9). This option accurately reflects the result of the addition.

B) 1 (1/3)

This option is incorrect because the sum of 2/3 and 4/9 does not equal 1 (1/3). The correct sum, as calculated, is 10/9, which cannot be simplified to 1 (1/3).

C) 2/9

This option is incorrect as it significantly underestimates the result of the addition. The sum of 2/3 and 4/9 results in 10/9, which is much larger than 2/9.

D) 10/9

While this option represents the raw sum of the fractions, it does not match the final answer in the required format. The final answer is expressed as 1 (1/9), which is the mixed number form of 10/9.

Conclusion

The answer 1 (1/9) effectively captures the result of adding 2/3 and 4/9, demonstrating an understanding of converting the sum into a mixed number. Other options either misrepresent the sum or fail to meet the criteria of the question by not presenting the answer in the requested format.