1. Which of the following is equivalent to 1.04?
Answer: D
1.04 is equivalent to 26/25.
The value 1.04 can be represented as a fraction, and the fraction that matches this decimal is 26/25.
A) 52/51
The fraction 52/51 simplifies to approximately 1.0196, which is less than 1.04. Therefore, it does not represent the same value as 1.04.
B) 51/50
The fraction 51/50 simplifies to 1.02, which is also less than 1.04. This means it does not equate to 1.04.
C) 27/25
The fraction 27/25 simplifies to 1.08, which is greater than 1.04. Thus, this option does not represent the correct value.
D) 26/25
The fraction 26/25 simplifies to 1.04 exactly, making it equivalent to the decimal value in question. This is the correct answer.
Conclusion
In summary, 26/25 is the only fraction among the options that equals 1.04, while all other options either fall short of or exceed this value. Therefore, 26/25 is definitively the correct choice.