Sure, let's convert the mixed number [tex]\( 9 \frac{1}{3} \)[/tex] to an improper fraction step-by-step.
1. Identify Parts of the Mixed Number:
- The whole number part is [tex]\( 9 \)[/tex].
- The fractional part is [tex]\( \frac{1}{3} \)[/tex].
2. Convert the Whole Number Part to a Fraction:
- Multiply the whole number part by the denominator of the fraction:
[tex]\( 9 \times 3 = 27 \)[/tex].
3. Combine with the Fractional Part:
- Add the numerator of the fraction part to the product from the previous step:
[tex]\( 27 + 1 = 28 \)[/tex].
4. Form the Improper Fraction:
- Use the same denominator as the fractional part:
Therefore, the improper fraction is [tex]\( \frac{28}{3} \)[/tex].
So, the mixed number [tex]\( 9 \frac{1}{3} \)[/tex] converts to the improper fraction [tex]\( \frac{28}{3} \)[/tex].
Among the choices given, the correct answer is:
[tex]\[ \boxed{\frac{28}{3}} \][/tex]
