Question 32

1 & 7/30

The sum of 2/3 + 1/6 + 2/5 equals 1 & 7/30 when all fractions are converted to a common denominator and added together correctly.

A) 1/3

This option is incorrect because when adding the fractions, the total exceeds 1/3. The calculations show that the sum is greater than this value.

B) 2/5

This option is also incorrect as it represents a value lower than the total obtained from the addition of the three fractions. The computed sum is significantly greater than 2/5.

C) 1 & 7/30

This is the correct answer. When the fractions 2/3, 1/6, and 2/5 are added, the common denominator is 30, leading to a total of 37/30, which simplifies to 1 & 7/30.

D) 1 & 1/15

This option is incorrect since it is less than the actual calculated sum. The fraction 1 & 1/15 is not equivalent to the total derived from the addition of the given fractions.

Conclusion

The correct answer, 1 & 7/30, accurately reflects the sum of the fractions when calculated with a common denominator. All other options fail to represent the correct total, either being too low or miscalculating the resultant value. Therefore, C is definitively the right choice.