7. What is the result of adding 2/3 + 1/6 + 2/5?
Answer: C
1 & 7/30
The result of adding 2/3, 1/6, and 2/5 is 1 & 7/30. This sum involves finding a common denominator and combining the fractions accordingly, leading to the final mixed number.
A) 1/3
This option is incorrect because 1/3 is significantly smaller than the sum of the fractions involved. The correct addition of 2/3, 1/6, and 2/5 results in a value greater than 1, making 1/3 an invalid answer.
B) 2/5
2/5 is also incorrect for similar reasons as Option A. The result of the addition exceeds 2/5, indicating that this option does not reflect the true sum of the fractions.
C) 1 & 7/30
This option is correct. By converting each fraction to a common denominator, we find that 2/3 is equivalent to 20/30, 1/6 is 5/30, and 2/5 is 12/30. Adding these gives us 37/30, which converts to the mixed number 1 & 7/30.
D) 1 & 1/15
This option is incorrect as it underestimates the total sum. The correct addition yields a fraction that is larger than 1 & 1/15, thus making this choice inaccurate.
Conclusion
The correct answer, 1 & 7/30, accurately represents the sum of the fractions when calculated correctly. Options A, B, and D do not meet the requirements of the problem, as they are either too small or miscalculated, while C captures the precise total of the addition.