Final answer:
After using the sugar for three dessert recipes, Kenzie will have 3/4 cups of sugar remaining.
Step-by-step explanation:
Kenzie is making three desserts for a party, and she needs to find out how much sugar she will have left over after using the sugar required for her recipes. To calculate this, we add the amounts of sugar needed for each dessert: 2/3 cup, 1 5/6 cups, and 2 3/4 cups.
Firstly, convert the mixed numbers to improper fractions. The 1 5/6 cups becomes (1×6+5)/6 which is 11/6 cups, and the 2 3/4 cups becomes (2×4+3)/4 which is 11/4 cups. Next, find a common denominator for all three fractions, which is 12. So, we would convert the fractions to have the denominator of 12:
- 2/3 cup × 4/4 = 8/12 cups
- 11/6 cups × 2/2 = 22/12 cups
- 11/4 cups × 3/3 = 33/12 cups
Now, sum them up: 8/12 + 22/12 + 33/12 = 63/12 cups, which simplifies to 5 1/4 cups. Kenzie had a total of 6 cups of sugar. Therefore, she will have: 6 - 5 1/4 = 3/4 cups of sugar left after making all three desserts.