What is the result of adding 2/3 + 1/6 + 2/5?

Rationale

Adding 2/3, 1/6, and 2/5 results in 1 & 7/30.

To find the sum of the fractions 2/3, 1/6, and 2/5, we need to convert them to a common denominator, which is 30. The calculation yields a total of 37/30, or 1 & 7/30 when expressed as a mixed number.

A (1/3) YOUR ANSWER

This choice represents a fraction significantly less than the sum of the three fractions. When calculated, 1/3 equals 10/30, which is much lower than the actual result of 37/30. Thus, it cannot be the correct answer.

B (2/5) YOUR ANSWER

The fraction 2/5 is equivalent to 12/30, which again is far less than the calculated total of 37/30. This choice fails to account for the contributions of the other fractions and is not a viable option.

C (1 & 7/30) CORRECT

This choice accurately represents the sum of the fractions. Converting 2/3 to 20/30, 1/6 to 5/30, and 2/5 to 12/30, we can add them together to achieve 37/30, which simplifies to 1 & 7/30.

D (1 & 1/15) YOUR ANSWER

This choice, represented as 1 + 2/30 (which simplifies to 1 & 1/15), is also incorrect. When calculated, this value corresponds to 31/30, which is less than the actual sum of 37/30, making it an invalid answer.

Conclusion

The correct sum of the fractions 2/3, 1/6, and 2/5 is indeed 1 & 7/30, as demonstrated through proper conversion to a common denominator and addition of the resulting fractions. The other options either underestimate or misrepresent the total, confirming that only C is valid.

What is the result of adding 2/3 + 1/6 + 2/5?

Adding 2/3, 1/6, and 2/5 results in 1 & 7/30.

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