in the fridge Hanna had 2/3 of a quart of milk . she used half of this milk when she had breakfast cereal . How much milk did she use?

2/3 * 1/2 = ?

To find out how much milk Hanna used, we need to multiply the amount of milk she started with by the fraction representing the portion she used.

Hanna had 2/3 of a quart of milk in the fridge. This means she used 2/3 of the milk for breakfast cereal.

To calculate this, we use the following formula:
Amount of milk used = Starting amount of milk × Fraction used

Plugging in the values, we have:
Amount of milk used = (2/3) × (1/2)

Now, to multiply fractions, we simply multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator.

Calculating the multiplication, we have:
Amount of milk used = (2/3) × (1/2) = 2 × 1 / 3 × 2 = 2/6

However, we want to simplify this fraction. Both the numerator and denominator are divisible by 2. Simplifying, we have:
Amount of milk used = 1/3

Therefore, Hanna used 1/3 of a quart of milk for her breakfast cereal.