Skyler is making cookies to donate to the bake sale at his local grocery store. He makes 2/3

Question

of the cookies on a given night and has only enough time to decorate 1/4
of them. What is the fractional portion remaining that he still needs to decorate?

Answer 1

To find the fractional portion of cookies that Skyler still needs to decorate, let's break it down step by step.

1. Understanding the Cookies Made: Skyler makes \( \frac{2}{3} \) of the total cookies.

2. Cookies Decorated: He has time to decorate \( \frac{1}{4} \) of the cookies he made. Thus, the number of cookies that he has decorated is:

   \[ \text{Decorated cookies} = \frac{1}{4} \times \frac{2}{3} = \frac{2}{12} = \frac{1}{6} \]

3. Total Cookies Made: Since he made \( \frac{2}{3} \) of the cookies, we need to know how much remains undecorated:

   \[ \text{Remaining undecorated cookies} = \text{Total cookies made} - \text{Decorated cookies} = \frac{2}{3} - \frac{1}{6} \]

4. Finding a Common Denominator: The common denominator for \( \frac{2}{3} \) and \( \frac{1}{6} \) is 6. Rewriting \( \frac{2}{3} \):

   \[ \frac{2}{3} = \frac{4}{6} \]

5. Calculating Remaining Cookies:

   \[ \frac{4}{6} - \frac{1}{6} = \frac{3}{6} = \frac{1}{2} \]

Thus, the fractional portion of the cookies that Skyler still needs to decorate is \( \frac{1}{2} \).