Layla is making fruit salad. She uses 1 1/2 cups of oranges, 2/3 cups of apples, and 3/4 cups of grapes. How many cups of fruit does she use? A. 3 1/9 B. 3 7/12 C. 2 1/9 D. 2 11/12

Answer 1

To find the total amount of fruit Layla uses, we add up the amounts of each type of fruit: 1 1/2 cups + 2/3 cups + 3/4 cups = (3/2 cups + 2/3 cups + 3/4 cups)
To make the fractions have a common denominator, we find the least common multiple of 2, 3, and 4, which is 12.
Next, we convert the fractions to have the denominator 12: (3/2 cups)(6/6) = 18/12 cups, (2/3 cups)(4/4) = 8/12 cups, and (3/4 cups)(3/3) = 9/12 cups.
Now we add the fractions: (18/12 cups + 8/12 cups + 9/12 cups) = (18 + 8 + 9)/12 cups = 35/12 cups.
The mixed number representation of 35/12 is 2 11/12.
Therefore, Layla uses 2 11/12 cups of fruit.
The answer is D. 2 11/12.