Layla is making fruit salad. She uses 11 /2 cups of oranges, 2/3 cups of apples, and 3/4 cups of grapes. How many cups of fruit does she use?(1 point)
3 1/9
3 7/12
2 1/9
2 11/12
To find out how many cups of fruit Layla used, we need to add the fractions together.
First, let's convert 11 1/2 to an improper fraction. Multiply the whole number, 11, by the denominator, 2, and add the numerator, 1. This gives us 22 + 1 = 23. The denominator stays the same, 2. So, 11 1/2 can be written as the fraction 23/2.
Next, we need to find a common denominator for all the fractions. The common denominator for 2, 3, and 4 is 12.
Multiplying the numerator and denominator of 23/2 by 6, we get (23 * 6) / (2 * 6) = 138/12.
So far, we have: 138/12 + 2/3 + 3/4
Now, we need to find a common denominator for all the fractions to add them together. The common denominator for 12, 3, and 4 is also 12.
Multiplying the numerator and denominator of 2/3 by 4, we get (2 * 4) / (3 * 4) = 8/12.
Multiplying the numerator and denominator of 3/4 by 3, we get (3 * 3) / (4 * 3) = 9/12.
So now, we have: 138/12 + 8/12 + 9/12
Combining the numerators, we get: (138 + 8 + 9) / 12 = 155 / 12.
Therefore, Layla uses 155/12 cups of fruit.
In mixed number form, this is 12 11/12.
So, the answer is 2 11/12 cups of fruit.