To solve this problem, we first need to identify the total fraction of cookies Skyler makes and the fraction that he decorates.
- Fraction of cookies made: Skyler makes \( \frac{2}{3} \) of the cookies.
- Fraction of cookies decorated: Skyler decorates \( \frac{1}{4} \) of the cookies he made.
To find the actual fraction of the cookies that he has decorated, we will multiply the two fractions:
\[ \text{Fraction of cookies decorated} = \left(\frac{2}{3}\right) \times \left(\frac{1}{4}\right) = \frac{2 \times 1}{3 \times 4} = \frac{2}{12} = \frac{1}{6} \]
Now, we need to determine the fractional portion of the cookies that are still left to decorate. We have:
- Total cookies made: \( \frac{2}{3} \)
- Cookies decorated: \( \frac{1}{6} \)
To find the remaining portion that still needs to be decorated, we subtract the fraction decorated from the total fraction made:
\[ \text{Fraction remaining to decorate} = \frac{2}{3} - \frac{1}{6} \]
To perform this subtraction, we need a common denominator. The least common multiple of 3 and 6 is 6. We can rewrite \( \frac{2}{3} \) as:
\[ \frac{2}{3} = \frac{4}{6} \]
Now we can subtract:
\[ \frac{4}{6} - \frac{1}{6} = \frac{3}{6} = \frac{1}{2} \]
Thus, the fractional portion remaining that Skyler still needs to decorate is
\(\frac{1}{2}\).
So, the correct response is:
\[ \frac{1}{2} \]