David ate 3 2/3 apples and Jamal ate 5 3/9 apples. If they finished all the apples in a box, how many apples were in the box?(1 point) Responses
9 9
8 8
8 5/12
2
To find the total number of apples in the box, you need to add David and Jamal's portions together.
David ate 3 2/3 apples, which can be written as 11/3 apples.
Jamal ate 5 3/9 apples, which can be written as 48/9 apples.
Adding their portions together, 11/3 + 48/9 = (33/9) + (48/9) = 81/9 apples.
Simplifying the fraction, 81/9 = 9 apples.
Therefore, there were 9 apples in the box.
To find out the total number of apples in the box, we need to add the number of apples David ate to the number of apples Jamal ate.
David ate 3 2/3 apples, which can be written as an improper fraction:
3 2/3 = (3 * 3 + 2) / 3 = 11/3
Jamal ate 5 3/9 apples, which can also be written as an improper fraction:
5 3/9 = (5 * 9 + 3) / 9 = 48/9
Now, let's add these two fractions together:
11/3 + 48/9
To add fractions, we need to have the same denominator. Since 3 and 9 have a common multiple of 9, we can convert both fractions to have a denominator of 9.
11/3 = (11 * 3) / (3 * 3) = 33/9
48/9 = 48/9
Now we can add the fractions:
33/9 + 48/9 = (33 + 48) / 9 = 81/9
We can simplify this fraction by dividing both the numerator and denominator by their common factor, which is 9:
81/9 = (9 * 9) / (9 * 1) = 9/1 = 9
Therefore, there were 9 apples in the box.
To find out how many apples were in the box, we need to add the number of apples David ate and the number of apples Jamal ate.
David ate 3 2/3 apples, which can also be written as an improper fraction: 11/3.
Jamal ate 5 3/9 apples, which can also be written as an improper fraction: 48/9.
Next, we add the two fractions together: 11/3 + 48/9.
But in order to add fractions, we need to have a common denominator. The least common multiple of 3 and 9 is 9. So, we need to find equivalent fractions with denominators of 9 for both fractions.
11/3 is equal to (11/3) x (3/3) = 33/9.
48/9 remains the same since it already has a denominator of 9.
Now we can add the fractions: 33/9 + 48/9 = 81/9.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 9.
81/9 divided by 9/9 = 9/1.
So, David and Jamal ate a total of 9 apples.
Therefore, there were 9 apples in the box.