Answer :
Final answer:
6.25, expressed as a rational number, is 25/4. The rational number is a fraction of two integers where the denominator is not zero. Other options mentioned do not equal 6.25 when simplified.
Explanation:
The student requested to convert 6.25 into a rational number. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. To convert a decimal to a rational number, you need to define it as a fraction.
Looking at the given choices: A. 6.25 = 625/1000, B. 6.25 = 125/20, C. 6.25 = 25/4, D. 6.25 = 250/40. Let's analyze each one:
- Option A: 625/1000, when reduced, gives us 5/8. This does not equal 6.25.
- Option B: 125/20, when reduced, gives us 5/2 or 2.5, which is also not equal to 6.25.
- Option C: 25/4, when simplified, indeed gives us 6.25. Therefore, this is the correct answer.
- Option D: 250/40, when reduced, equals to 5/2 or 2.5, which does not equal to 6.25.
So, to explain, the correct conversion of 6.25 into a rational number is 25/4.
Learn more about Rational Number Conversion here:
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