david ate 3 2/3 apples and jamal ate 5 3/9. if they finished all the apples in a box, how many apples were in the box?
9
8
8 5/12
2
To find the total number of apples in the box, we need to add the number of apples David and Jamal ate.
David ate 3 2/3 apples, which can be written as 11/3.
Jamal ate 5 3/9 apples, which can be written as 46/9.
To add these fractions, they need to have a common denominator. The least common multiple of 3 and 9 is 9, so we can rewrite the fractions with the common denominator of 9.
11/3 becomes 33/9.
46/9 stays the same.
Now we can add the fractions:
33/9 + 46/9 = 79/9.
Converting this mixed fraction to a mixed number, we get:
79/9 = 8 7/9.
Therefore, there were 8 7/9 apples in the box.
However, since we can't have a fraction of an apple, we round down to the nearest whole number, which is 8.
So, there were 8 apples in the box. Answer: 8.
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 is the same as (3 * 3) + 2 = 11/3 apples.
Jamal ate 5 3/9 apples, which is the same as (5 * 9) + 3 = 48/9 apples.
Now, let's add the fractions:
11/3 + 48/9 = (11 * 3) + (48 * 1) / (3 * 3) = 33 + 48 / 9 = 81/9 apples.
Since they finished all the apples in the box, there were 81/9 apples in the box.
Now, we can simplify the fraction:
81/9 = (9 * 9) / (1 * 9) = 9 apples.
Therefore, there were 9 apples in the box.
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 is equivalent to 3 + 2/3 = 11/3 apples.
Jamal ate 5 3/9 apples, which is equivalent to 5 + 3/9 = 50/9 apples.
To add the fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 9 is 9. So, we need to convert both fractions to have a denominator of 9.
Converting 11/3 to a fraction with a denominator of 9:
11/3 * 3/3 = 33/9.
Converting 50/9 to a fraction with a denominator of 9:
50/9 * 1/1 = 50/9.
Now we can add the two fractions together:
33/9 + 50/9 = 83/9.
So, the total number of apples in the box is 83/9.
To simplify the fraction, we can divide the numerator by the denominator:
83 รท 9 = 9 remainder 2.
Therefore, the simplified fraction is 9 2/9.
Thus, there were 9 2/9 apples in the box.