To find out how much potato salad was left after Mctugg ate 2/3 of it, we start with the total amount of potato salad he brought, which is 1/2 pound.
First, we need to calculate how much potato salad he ate: \[ \text{Amount eaten} = \frac{2}{3} \times \frac{1}{2} \]
To multiply these fractions, we multiply the numerators together and the denominators together: \[ \text{Amount eaten} = \frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3} \text{ pound} \]
Now, we can find out how much potato salad is left: \[ \text{Amount left} = \text{Total amount} - \text{Amount eaten} \] \[ \text{Amount left} = \frac{1}{2} - \frac{1}{3} \]
To subtract these fractions, we first need a common denominator. The least common denominator of 2 and 3 is 6. We convert the fractions: \[ \frac{1}{2} = \frac{3}{6} \] \[ \frac{1}{3} = \frac{2}{6} \]
Now, we can subtract them: \[ \text{Amount left} = \frac{3}{6} - \frac{2}{6} = \frac{1}{6} \text{ pound} \]
So, there was \(\frac{1}{6}\) pound of potato salad left for an afternoon snack.