To convert the improper fraction [tex]\( \frac{17}{12} \)[/tex] to a mixed number, follow these steps:
1. Divide the numerator by the denominator to find the whole number part:
[tex]\[
17 \div 12 = 1 \quad \text{(quotient)}
\][/tex]
This means that 17 divided by 12 gives a whole number of 1.
2. Determine the remainder of the division:
[tex]\[
17 \mod 12 = 5
\][/tex]
The remainder is the part of the numerator that is left after subtracting the whole number part multiplied by the denominator.
3. Write the mixed number:
The whole number part is 1, and the remainder is 5. So we have:
[tex]\[
1 \frac{5}{12}
\][/tex]
Therefore, [tex]\( \frac{17}{12} \)[/tex] as a mixed number is [tex]\( 1 \frac{5}{12} \)[/tex].
Given the multiple-choice options, the correct answer is:
A. [tex]\( 1 \frac{5}{12} \)[/tex]
### Verification:
- [tex]\( \frac{17}{12} = 1 \)[/tex] with a remainder of [tex]\( 5 \)[/tex].
- Restating the mixed number: [tex]\( 1 \frac{5}{12} \)[/tex] confirms it's correct.
Thus, the correct answer is A.
