A pitcher contains2/3 quarter of lemonade.If an amount of lemonade is poured into each 6 glasses, how much lemonade will each glass contain?
I assume that is 2/3 quart.
1 quart = 32 ounces
(2/3) * 32 = 64/3 = 21.333 ounces
21.333 / 6 = 3.5555 ounces in each glass
To find out how much lemonade each glass will contain, we need to divide the total amount of lemonade in the pitcher by the number of glasses.
First, let's determine the amount of lemonade in the pitcher. We are given that the pitcher contains 2/3 of a quarter of lemonade. One quarter can be expressed as 1/4. So, the amount of lemonade in the pitcher is (2/3) * (1/4).
To calculate this, we multiply the numerators together: 2 * 1 = 2. And we multiply the denominators: 3 * 4 = 12. So, the amount of lemonade in the pitcher is 2/12.
Now, we need to determine how much lemonade will be poured into each glass. We have been told that the lemonade will be poured into 6 glasses.
To split the amount of lemonade equally among the 6 glasses, we divide the total amount of lemonade (2/12) by the number of glasses (6).
To do this division, we keep the numerator the same and multiply it by the reciprocal of the denominator. So, we have (2/12) * (1/6).
To multiply fractions, we multiply the numerators together: 2 * 1 = 2. And we multiply the denominators together: 12 * 6 = 72. So, the amount of lemonade each glass will contain is 2/72.
Simplifying this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2. This gives us 1/36.
So, each glass will contain 1/36 of lemonade.