27. 3/4 + 1/8 + 7/20 =
Answer: E
None of the Above
The sum of 3/4, 1/8, and 7/20 does not equal any of the provided fractions in the options A through D. Therefore, the correct answer is "None of the Above."
A) 1{9/40}
This option suggests a mixed number, which is not applicable here as the sum of the fractions results in an improper fraction or a decimal. Additionally, calculating the sum of the given fractions yields a result that does not correspond to 1{9/40}, making this choice incorrect.
B) {11/32}
To assess this option, the sum of 3/4, 1/8, and 7/20 must be calculated. The total does not simplify to 11/32; in fact, the correct sum exceeds this value. Thus, this option is incorrect.
C) 14/28
While 14/28 simplifies to 1/2, the actual calculation of 3/4 + 1/8 + 7/20 yields a value greater than 1/2. Therefore, this option is also incorrect.
D) 19/20
This option implies that the sum of the fractions equals 19/20. However, the computed sum exceeds 19/20, making this option incorrect as well.
E) None of the Above
This option accurately reflects the outcome of the addition of the fractions provided. None of the other choices correspond to the correct sum.
Conclusion
The correct answer is "None of the Above" because the sum of 3/4, 1/8, and 7/20 does not match any of the fractions presented in options A through D. Each of the other options is either a miscalculation or does not represent the correct total, reinforcing that option E is the only valid choice.