Kandace's recipe for cupcake frosting calls for 3 3/4 cups granulated sugar, 3/4 cup butter, 1 2/3 powdered sugar and 6 ounces unsweetened chocolate. How much sugar is in the recipe?
I got the answer 5 5/12 sugar, is that correct?
Your problem doesn't say, but I assume it's 2/3 cup of powdered sugar.
2/3 + 15/4
8/12 + 45/12 = 53/12 = 4 5/12 cups
It says 1 2/3 cups.
Ooops! I missed the 1.
5/3 = 20/12
20/12 + 45/12 = 65/12 = 5 5/12
You're right.
To determine the amount of sugar in Kandace's cupcake frosting recipe, we need to sum up the quantities of granulated sugar and powdered sugar.
The recipe calls for 3 3/4 cups of granulated sugar, which can also be written as a mixed number: 3 + 3/4 = 3 3/4.
Next, we need to add this quantity to the powdered sugar, which is 1 2/3 cups or 1 + 2/3 = 1 2/3.
To add the two quantities together, we can start by converting both mixed numbers into improper fractions. Multiplying the whole number by the denominator and adding the numerator gives us the following:
For granulated sugar: 3 x 4 + 3 = 12 + 3 = 15/4
For powdered sugar: 1 x 3 + 2 = 3 + 2 = 5/3
Now that we have both quantities in the form of improper fractions, we can add them together:
15/4 + 5/3
To add these fractions, we need a common denominator. In this case, the least common multiple of 4 and 3 is 12.
Multiplying the numerator and denominator of 15/4 by 3, we get 45/12. Likewise, multiplying the numerator and denominator of 5/3 by 4, we get 20/12.
Now that both fractions have the common denominator of 12, we can add them together:
45/12 + 20/12 = 65/12
Therefore, the total amount of sugar in Kandace's cupcake frosting recipe is 65/12 cups.