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

Rationale

1 & 7/30 is the correct sum of 2/3 + 1/6 + 2/5.

To find the sum of the fractions, we first convert them to a common denominator, which in this case is 30. The fractions become 20/30, 5/30, and 12/30 respectively. Adding these gives us a total of 37/30, which can be expressed as 1 & 7/30.

A (1/3) YOUR ANSWER

This choice represents a fraction that is significantly smaller than the correct sum. When adding the given fractions, the result exceeds 1, making this answer incorrect.

B (2/5) YOUR ANSWER

Like the previous option, 2/5 is less than 1 and does not represent the correct sum of the fractions. The combined value of the fractions is greater than 1, thus making this option invalid.

C (1 & 7/30) CORRECT

This is the correct answer, as demonstrated by the calculations. The total of 2/3 + 1/6 + 2/5 simplifies to 37/30, which converts to 1 & 7/30, confirming that this is the accurate result of the sum.

D (1 & 1/15) YOUR ANSWER

This choice is also incorrect as it suggests a sum that is less than the actual calculated total. The correct sum of 37/30 is greater than 1 & 1/15, rendering this answer invalid.

Conclusion

The sum of the fractions 2/3, 1/6, and 2/5 is accurately calculated to be 1 & 7/30. While the incorrect options provide values that are either too small or misrepresent the sum, the correct choice reflects the true total from the addition, demonstrating an understanding of fraction addition and conversion to mixed numbers.

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

1 & 7/30 is the correct sum of 2/3 + 1/6 + 2/5.

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