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)
1. 9
2. 8
3. 8 5/12
4. 2
To find out how many apples were in the box, add the amounts of apples David and Jamal ate:
3 2/3 + 5 3/9
First, convert the mixed numbers to improper fractions:
3 2/3 = 11/3
5 3/9 = 56/9
Now add the fractions:
11/3 + 56/9
To add fractions, find a common denominator, which in this case is 9:
11/3 = 33/9
Now add the fractions:
33/9 + 56/9 = 89/9
Converting the fraction back to a mixed number:
89/9 = 8 5/12
So, the answer is option 3: 8 5/12.
To find the total number of apples in the box, you need to add the number of apples David ate and the number of apples Jamal ate.
David ate 3 2/3 apples, which can be written as an improper fraction: 3 + 2/3 = 9/3 + 2/3 = 11/3.
Jamal ate 5 3/9 apples, which can be written as an improper fraction: 5 + 3/9 = 45/9 + 3/9 = 48/9.
Now, add the two fractions: 11/3 + 48/9 = (11*3)/(3*3) + 48/9 = 33/9 + 48/9 = 81/9.
Simplify the fraction: 81/9 = (9*9)/(9*1) = 9/1 = 9.
Therefore, the number of apples in the box is 9, so the answer is option 1.
To find the total number of apples 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 be written as an improper fraction: 3 + 2/3 = 9/3 + 2/3 = 11/3.
Jamal ate 5 3/9 apples, which can also be written as an improper fraction: 5 + 3/9 = 45/9 + 3/9 = 48/9.
To find the total number of apples, we add the two fractions: 11/3 + 48/9.
To add fractions, we need to have a common denominator. In this case, the least common multiple of 3 and 9 is 9.
Converting 11/3 to a fraction with a denominator of 9, we multiply the numerator and denominator by 3: (11/3) * (3/3) = 33/9.
Now we can add the two fractions: 33/9 + 48/9 = 81/9.
To simplify the fraction, we can divide the numerator (81) and denominator (9) by their greatest common divisor, which is 9: (81/9) รท (9/9) = 9/1.
Thus, there were 9 apples in the box.
Therefore, the correct answer is option 1: 9.