Which of the following is equivalent to 1.04?
D) 26/25
To find the equivalent fraction for 1.04, we note that 1.04 can be expressed as 1 + 0.04. Simplifying 0.04 to 4/100 and adding it to 1 gives us 104/100. Further reducing this fraction by dividing both numerator and denominator by 4 yields 26/25, making 26/25 equivalent to 1.04.
This fraction is not equivalent to 1.04. 52/51 is greater than 1, while 1.04 is slightly greater than 1. Therefore, A) is incorrect.
51/50 is also not equivalent to 1.04. This fraction is less than 1, whereas 1.04 is greater than 1. Hence, B) is an incorrect choice.
The fraction 27/25 is not equivalent to 1.04. It is greater than 1. Additionally, the difference between 27/25 and 1.04 is significant, ruling out C) as the correct answer.
Among the provided options, D) 26/25 is the only fraction that is equivalent to 1.04. By converting the decimal to a fraction, we see that 1.04 can be represented as 26/25. This process of converting decimals to fractions allows for precise mathematical equivalence, showcasing the relationship between decimals and fractional representations.
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