Katie is baking cookies. She only wants to make 3/4 of the recipe. She needs to take 3/4 of the 2/3 cup of sugar. How much sugar does she need?

Multiply the two fractions.

To find out how much sugar Katie needs, we can multiply the fraction that represents the proportion of the recipe she wants to make (3/4) by the fraction that represents the amount of sugar needed in the original recipe (2/3 cup).

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

So, to find the amount of sugar Katie needs, we multiply 3/4 by 2/3:

(3/4) * (2/3) = (3 * 2)/(4 * 3) = 6/12

Now, we simplify the fraction. The numerator (6) and the denominator (12) can both be divided by 6:

6/12 = 1/2

Therefore, Katie needs 1/2 cup of sugar to make 3/4 of the recipe.