andy has 6 2/3 quarts of juice. how many 2/3 cups servings can he pour

4 4/9

divide by .66

To determine how many 2/3 cups servings Andy can pour from 6 2/3 quarts of juice, we need to convert the quarts to cups first.

1 quart is equal to 4 cups.

Therefore, 6 quarts would be equal to 6 × 4 = 24 cups.

Now, since Andy has an additional 2/3 of a quart, we need to convert it to cups as well.

To convert 2/3 of a quart to cups, we multiply 2/3 by 4 (since there are 4 cups in a quart):

(2/3) × 4 = 8/3 cups.

Now, let's add this to the previous total:

24 cups + 8/3 cups = 24 cups + 2 2/3 cups.

We can rewrite 2 2/3 cups as a mixed number: 2 cups + 2/3 cup.

So, the total amount of juice Andy has is 26 cups + 2/3 cups.

Now we can find out how many 2/3 cup servings he can pour.

Divide the total amount of juice by the serving size:

26 cups + 2/3 cups ÷ 2/3 cups.

When dividing by a fraction, we can multiply by its reciprocal:

26 cups + 2/3 cups × 3/2 cups = (26 + 2/3) × (3/2) cups.

Now, multiply the whole number part by the reciprocal:

26 × (3/2) = 78/2 = 39.

Next, multiply the fractional part:

(2/3) × (3/2) = 6/6 = 1.

Adding the products together:

39 + 1 = 40.

Therefore, Andy can pour 40 servings of 2/3 cup from 6 2/3 quarts of juice.