arianna has 2/3 quarts of milk. she uses 3/4 of it in a cookie recipe. how mch milk did arianna use in her recipe
1/3
To find out how much milk Arianna used in her recipe, we need to multiply the amount of milk she had (2/3 quarts) by the fraction representing the portion she used in her recipe (3/4).
First, convert the fractions to a common denominator. In this case, the common denominator is 12.
2/3 quarts = 8/12 quarts
3/4 = 9/12
Next, multiply the fractions:
(8/12) * (9/12) = 72/144
To simplify the fraction, find the greatest common divisor (GCD) or divide both the numerator and denominator by their GCD (which is 72 in this case):
72/72 = 1
So, Arianna used 1/144 of a quart, or you could say she used a little less than 1 teaspoon of milk in her recipe.