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Answer :
Certainly! Let's solve the problem of converting the decimal number 6.04 into its simplest fractional form, step by step.
1. Understanding the Decimal:
- The decimal number 6.04 can be thought of as 6 and 0.04.
2. Converting to an Initial Fraction:
- We can express this as a mixed number: [tex]\(6 \frac{4}{100}\)[/tex], because 0.04 is equivalent to the fraction [tex]\(\frac{4}{100}\)[/tex].
3. Simplifying the Fraction:
- We need to simplify [tex]\(\frac{4}{100}\)[/tex].
- Find the greatest common divisor (GCD) of 4 and 100, which is 4.
- Divide both the numerator and the denominator by their GCD:
[tex]\(\frac{4 \div 4}{100 \div 4} = \frac{1}{25}\)[/tex].
4. Combining Whole and Fractional Parts:
- So, 6.04 as a fraction is: [tex]\(6 \frac{1}{25}\)[/tex].
Therefore, the decimal number 6.04 written as a fraction in its simplest form is [tex]\(6 \frac{1}{25}\)[/tex]. This corresponds to the last choice in the list provided.
1. Understanding the Decimal:
- The decimal number 6.04 can be thought of as 6 and 0.04.
2. Converting to an Initial Fraction:
- We can express this as a mixed number: [tex]\(6 \frac{4}{100}\)[/tex], because 0.04 is equivalent to the fraction [tex]\(\frac{4}{100}\)[/tex].
3. Simplifying the Fraction:
- We need to simplify [tex]\(\frac{4}{100}\)[/tex].
- Find the greatest common divisor (GCD) of 4 and 100, which is 4.
- Divide both the numerator and the denominator by their GCD:
[tex]\(\frac{4 \div 4}{100 \div 4} = \frac{1}{25}\)[/tex].
4. Combining Whole and Fractional Parts:
- So, 6.04 as a fraction is: [tex]\(6 \frac{1}{25}\)[/tex].
Therefore, the decimal number 6.04 written as a fraction in its simplest form is [tex]\(6 \frac{1}{25}\)[/tex]. This corresponds to the last choice in the list provided.
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