Answer :
Final answer:
To convert the given recipe to a ratio, divide 1 1/2 tablespoons of lemonade mix by 3/4 cups of sparkling water. Simplify the resulting fraction to find the answer: 2/3 tablespoons of lemonade mix per cup of sparkling water.
Explanation:
To determine how many tablespoons of lemonade mix it takes per cup of sparkling water, you can use the given recipe as a reference. In the recipe, 1 1/2 tablespoons of lemonade mix is used with 3/4 cups of sparkling water. To find the ratio of lemonade mix to sparkling water, you can divide the amount of lemonade mix by the amount of sparkling water. So, the ratio is 1 1/2 tablespoons divided by 3/4 cups.
To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction. In this case, the reciprocal of 3/4 cups is 4/3. So, the division becomes: 1 rac{1}{2} imes rac{4}{3}.
When you multiply the numerators (1 and 4) and the denominators (2 and 3), the calculation becomes: rac{1 imes 4}{2 imes 3} = rac{4}{6}. This can be simplified to rac{2}{3}. Therefore, it takes rac{2}{3} tablespoons of lemonade mix per cup of sparkling water.
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