To convert the improper fraction [tex]\(\frac{17}{12}\)[/tex] into a mixed number, follow these steps:
1. Divide the numerator by the denominator to find the integer part of the mixed number.
- [tex]\(17 \div 12 = 1\)[/tex] remainder [tex]\(5\)[/tex]
2. Determine the integer part and the fractional part of the mixed number:
- Integer part: The quotient of the division is [tex]\(1\)[/tex].
- Fractional part: The remainder is [tex]\(5\)[/tex] and the denominator remains [tex]\(12\)[/tex].
3. Combine the integer part and the fractional part:
- The mixed number will be [tex]\(1\)[/tex] and [tex]\(\frac{5}{12}\)[/tex].
Thus, [tex]\(\frac{17}{12}\)[/tex] as a mixed number is [tex]\(1 \frac{5}{12}\)[/tex].
The correct answer is not listed in the given multiple choice options. The correct mixed number form should have been an option, which is:
[tex]\[ 1 \frac{5}{12} \][/tex]
Therefore, none of the provided answers (A, B, C, D) is correct.
