Peter mixes 4 1/2 cups of orange juice, 2 1/4 of ginger ale and 6 1/3 cups of strawberry lemonade to make some punch. What is th

Question

sladkih

3 months ago

6

Peter mixes 4 1/2 cups of orange juice, 2 1/4 of ginger ale and 6 1/3 cups of strawberry lemonade to make some punch. What is th

e total number of the cups of punch that peter makes

Mathematics

1 answer:

zzz [12.3K] · Answer 1 · 2026-03-03T10:41:41+03:00

To combine these quantities, we first need to determine their least common multiple, enabling us to have matching denominators, since adding fractions requires this.

Let's identify some multiples for each.
For this, increment by each respective denominator:
4 1/2 (denominator is 2): 2 4 6 8 10 12 14
2 1/4 (denominator is 4): 4 8 12 16
6 1/3 (denominator is 3): 3 6 9 12 15

Next, identify the lowest common multiple among all three denominators. For clarity, circle these. In this instance, the number is 12.

Next, we need to scale each denominator to reach 12, applying the same multiplier to the respective numerator:

4 1/2 (multiplied by 6 for both top and bottom) =
4 6/12

2 1/4 (multiplied by 3) = 2 3/12

6 1/3 (multiplied by 4) = 6 4/12

Now, sum these fractions to arrive at 12 13/12, which simplifies to 13 1/12.

Therefore, Peter has prepared a total of 13 1/2 cups.

I hope this clarifies things! Please let me know if anything is unclear or if some part seems incorrect!:))