Of the smoothies sold yesterday at Tom's Smoothies Shop, 1/4 were banana and another 1/2 were strawberry. What fraction of the smoothies sold were either banana or strawberry?

To find the fraction of smoothies that were either banana or strawberry, we can add the fractions representing each type of smoothie.

The fraction of smoothies that were banana is \( \frac{1}{4} \). The fraction of smoothies that were strawberry is \( \frac{1}{2} \).

First, we need to have a common denominator to add these fractions. The least common denominator (LCD) of 4 and 2 is 4.

Now, we can rewrite \( \frac{1}{2} \) in terms of the denominator 4:

\[ \frac{1}{2} = \frac{2}{4} \]

Now we can add the two fractions:

\[ \frac{1}{4} + \frac{2}{4} = \frac{1 + 2}{4} = \frac{3}{4} \]

Thus, the fraction of the smoothies sold that were either banana or strawberry is

\[ \frac{3}{4} \]

So, \( \frac{3}{4} \) of the smoothies sold yesterday were either banana or strawberry.