A recipe that makes 4 servings calls for 3/4cups of apple juice and 2/3 cup of cranberry juice.How many cups of juice are there per ?

3/4 + 2/3 = 9/12 + 8/12 = 17/12

(17/12) / 4 =

(17/12) * (1/4) = 17/48 cup per serving

17/48

To find out the total amount of juice in the recipe per serving, you need to add the amount of apple juice and cranberry juice together.

1. Start with the given quantities of apple juice and cranberry juice:
- Apple juice: 3/4 cup
- Cranberry juice: 2/3 cup

2. Convert the fractions to have a common denominator, which in this case is 12. To convert 3/4 to twelfths, multiply the numerator and denominator by 3, and to convert 2/3 to twelfths, multiply the numerator and denominator by 4.
- Apple juice: (3/4) * (3/3) = 9/12 cup
- Cranberry juice: (2/3) * (4/4) = 8/12 cup

3. Add the converted quantities of apple juice and cranberry juice together:
- Total juice: 9/12 cup + 8/12 cup = 17/12 cup

4. Simplify the result by dividing the numerator and denominator by their greatest common divisor, which is 1 in this case:
- 17/12 cup รท 1 = 17/12 cup

Therefore, there are 17/12 cups of juice in the recipe per serving.