David has 5/6 of a cup of lemonade to make a punch. He uses 1/3 cup of lemonade for each serving. How many servings can he make?
Eh, I don't understand that... :/
Welp, thanks anyway.
5/6/(1/3) = 5/6 * 3/1 = 15/6 = 2 3/6 = 2 1/2 servings.
A half serving = 1/2 * 1/3 = 1/6 cup.
To find out how many servings David can make, we need to divide the total amount of lemonade he has (5/6 cup) by the amount of lemonade used per serving (1/3 cup).
To divide fractions, we multiply the first fraction by the reciprocal (or the flipped version) of the second fraction. So, to find the number of servings, we can multiply 5/6 by the reciprocal of 1/3.
Let's do the calculation:
5/6 * 3/1
To multiply fractions, we multiply the numerators together and the denominators together:
(5 * 3) / (6 * 1)
15 / 6
Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 15 and 6 is 3:
15 / 6 = (15 ÷ 3) / (6 ÷ 3) = 5 / 2
So, David can make 5/2 servings of punch.
However, it's usually more practical to express the answer as a whole number instead of a fraction. Since you can't have a fraction of a serving, we need to round the fraction up or down. In this case, we can round down since it's not possible to make half a serving.
Therefore, David can make a maximum of 2 servings of punch.