I am making some mini cheesecakes as dessert for the party. One recipe calls for 1 and 3/4
cups of sugar. The other recipe calls for 1 and 2/3 cups of sugar. What is the total amount of
sugar I will need to make both cheesecake recipes? Show your work below (2 points for
each recipe and 1 point for the correct total)
For the first recipe: 1 and 3/4 cups of sugar
For the second recipe: 1 and 2/3 cups of sugar
To find the total amount of sugar needed, we add the amounts:
1 and 3/4 + 1 and 2/3
First, let's find a common denominator for 4 and 3, which is 12.
1 and 3/4 = 7/4 in terms of twelfths (multiply 4 by 3)
1 and 2/3 = 5/3 in terms of twelfths (multiply 3 by 4)
Now, we can add the fractions:
7/4 + 5/3
To add fractions, we need to find a common denominator, which is 12.
7/4 * 3/3 = 21/12
5/3 * 4/4 = 20/12
Now, we can add the fractions: 21/12 + 20/12 = 41/12
So, the total amount of sugar needed for both recipes is 41/12 cups.
We can simplify this fraction: 41/12 = 3 and 5/12
Therefore, the total amount of sugar needed to make both cheesecake recipes is 3 and 5/12 cups.