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?(1 point)

Responses

3 1/9

3 7/12

2 1/9

2 11/12

1 answer

To find the total number of cups of fruit Layla uses, we need to add the amounts of each fruit together.

1 1/2 cups of oranges can also be written as 3/2 cups.

So, the total amount of fruit is:
3/2 + 2/3 + 3/4

To add these fractions, we need to find a common denominator. In this case, the common denominator is 12.

To make the denominators 12, we can multiply the first fraction by 6/6, the second fraction by 4/4, and the third fraction by 3/3.

So the total amount of fruit is:
(3/2 * 6/6) + (2/3 * 4/4) + (3/4 * 3/3)
= 18/12 + 8/12 + 9/12
= (18 + 8 + 9)/12
= 35/12

Thus, Layla uses 35/12 cups of fruit, which can be simplified to 2 11/12. Therefore, the correct answer is 2 11/12.