To convert the improper fraction [tex]\( \frac{23}{6} \)[/tex] to a mixed number, follow these steps:
1. Divide the numerator by the denominator:
- Here, divide 23 by 6. The quotient (whole number part of the division) is 3.
2. Determine the remainder of the division:
- When 23 is divided by 6, the remainder is 5.
3. Combine the whole number part and the fractional part:
- The whole number part is 3.
- The remainder becomes the numerator of the fractional part.
- The denominator remains the same.
Thus, the mixed number can be written as:
[tex]\[
3 \frac{5}{6}
\][/tex]
Therefore, [tex]\( \frac{23}{6} \)[/tex] as a mixed number is [tex]\( 3 \frac{5}{6} \)[/tex].