Mfanelo is excited to prepare the frosting. He uses 1/2 cup of powdered sugar and 3/4 cup of softened butter. To make sure the frosting is just right. Mfanelo wants the ratio of powdered sugar to butter to be 2:3. Does Mfanelo need to adjust the amounts of powdered sugar or butter? Show calculations

Amount of powdered sugar = $\frac{1}{2}$ cup
Amount of softened butter = $\frac{3}{4}$ cup

The ratio is (powdered sugar) : (butter).

To simplify this ratio, we can divide the first fraction by the second:

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

So, the current ratio of powdered sugar to butter is $2:3$.

Desired ratio = $2:3$
Current ratio = $2:3$

Since the current ratio of powdered sugar to butter ($2:3$) is the same as the desired ratio ($2:3$), Mfanelo does not need to adjust the amounts.

Mfanelo does not need to adjust the amounts of powdered sugar or butter. The current ratio of powdered sugar to butter is already $\boxed{2:3}$.