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?
3 1/9
3 7/12
2 1/9
2 11/12
To find the total number of cups of fruit Layla uses, we need to add together the amounts of each type of fruit.
She uses 1 1/2 cups of oranges, which can be written as 1 + 1/2 = 3/2 cups of oranges.
She uses 2/3 cups of apples.
She uses 3/4 cups of grapes.
To add these fractions, we need to first find a common denominator. The common denominator for 2, 3, and 4 is 12.
Converting the fractions to have a denominator of 12:
Oranges: (3/2) * (6/6) = 18/12
Apples: (2/3) * (4/4) = 8/12
Grapes: (3/4) * (3/3) = 9/12
Now we can add these fractions together:
18/12 + 8/12 + 9/12 = 35/12
So, Layla uses 35/12 cups of fruit.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1:
35 ÷ 1 / 12 ÷ 1 = 35/12
Therefore, Layla uses 35/12 cups of fruit.
This fraction can be expressed as a mixed number by dividing the numerator by the denominator:
35 ÷ 12 = 2 with a remainder of 11
So, Layla uses 2 11/12 cups of fruit.
The correct answer is 2 11/12.