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, 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 3 + 2/3 = 9/3 + 2/3 = 11/3 apples.
Jamal ate 5 3/9 apples, which can be written as 5 + 3/9 = 45/9 + 3/9 = 48/9 apples.
Adding the amount of apples David and Jamal ate together:
11/3 + 48/9 = (11 * 3)/(3 * 3) + (48 * 1)/(9 * 1) = 33/9 + 48/9 = 81/9 = 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 that David and Jamal ate.
David ate 3 2/3 apples, which can also be written as 11/3.
Jamal ate 5 3/9 apples, which can also be written as 56/9.
To add these fractions, we need to find a common denominator. In this case, the common denominator is 9.
Converting 11/3 to have 9 as the denominator, we multiply both the numerator and denominator by 3. This gives us 33/9.
Adding the two fractions together:
33/9 + 56/9 = 89/9.
So, David and Jamal ate a total of 89/9 apples.
Since they finished all the apples in the box, the total number of apples in the box is also 89/9.
However, we can simplify this fraction. The greatest common divisor of 89 and 9 is 1, so we can't simplify the fraction further.
Therefore, the answer is 89/9 apples.
To find out how many apples were 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 also be written as an improper fraction as (3 * 3 + 2) / 3 = 11/3.
Jamal ate 5 3/9 apples, which can be simplified to (5 * 9 + 3) / 9 = 48/9.
Now, let's add the fractions together:
11/3 + 48/9 = (11 * 9 + 48 * 3) / (3 * 9) = (99 + 144) / 27 = 243/27.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 9:
243/27 = (243/9) / (27/9) = 27/3 = 9.
Therefore, there were 9 apples in the box.