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?

Question

Responses
A: 3 1/9
B: 3 7/12
C: 2 1/9
D: 2 11/12

Answer 1

To find the total number of cups of fruit Layla uses, we can add up the amounts of each type of fruit.

The total amount of oranges Layla uses is 1 1/2 cups.

The total amount of apples she uses is 2/3 cups.

The total amount of grapes she uses is 3/4 cups.

To find the total amount of fruit, we add up these fractions:

1 1/2 + 2/3 + 3/4

First, we need to find a common denominator for these fractions. The smallest number that all the denominators (2, 3, and 4) divide into evenly is 12.

1 1/2 = 3/2

So now, we have:

3/2 + 2/3 + 3/4

To add these fractions, we need to find the least common multiple of the denominators (2, 3, and 4) which is 12.

Multiplying the numerators and denominators by the appropriate numbers to get a denominator of 12:

3/2 * 6/6 = 18/12

2/3 * 4/4 = 8/12

3/4 * 3/3 = 9/12

Now we can add these fractions:

18/12 + 8/12 + 9/12 = 35/12

Since 35/12 is an improper fraction, we can simplify it by dividing the numerator (35) by the denominator (12):

35 ÷ 12 = 2 remainder 11

So the simplified fraction is 2 11/12.

Therefore, Layla uses a total of 2 11/12 cups of fruit.

The correct answer is D: 2 11/12.

Answer 2

you sure ?

Answer 3

I apologize for the incorrect response. Let's calculate the total number of cups of fruit Layla uses again.

The total amount of oranges Layla uses is 1 1/2 cups.

The total amount of apples she uses is 2/3 cups.

The total amount of grapes she uses is 3/4 cups.

To find the total amount of fruit, we can add up these fractions:

1 1/2 + 2/3 + 3/4

First, let's convert the mixed number 1 1/2 to an improper fraction:

1 1/2 = 2/2 + 1/2 = 3/2

Now, let's find a common denominator for the fractions 3/2, 2/3, and 3/4.

The least common multiple of 2, 3, and 4 is 12, so we'll use that as the new denominator for all the fractions.

3/2 = 18/12
2/3 = 8/12
3/4 = 9/12

Now, we can add up these fractions:

18/12 + 8/12 + 9/12 = (18 + 8 + 9) / 12 = 35/12

So, Layla uses a total of 35/12 cups of fruit.

To simplify this fraction, we can divide the numerator (35) by the denominator (12):

35 ÷ 12 = 2 remainder 11

Therefore, Layla uses a total of 2 11/12 cups of fruit.

The correct answer is D: 2 11/12.