7 3/5+2 1/3
To add these fractions, we'll first need to convert them to a common denominator.
The common denominator for 5 and 3 is 15.
Now let's convert 7 3/5:
7 can be rewritten as 7/1.
Now, we'll multiply the whole number (7) by the denominator (5) and add it to the numerator (3):
7/1 * 5/5 = 35/5
Adding the numerators, we get 35 + 3 = 38/5
Now let's convert 2 1/3:
2 can be rewritten as 2/1.
Now, we'll multiply the whole number (2) by the denominator (3) and add it to the numerator (1):
2/1 * 3/3 = 6/3
Adding the numerators, we get 6 + 1 = 7/3
Now that both fractions have a common denominator of 15, we can add them:
38/5 + 7/3
To add these fractions, we'll need to find a common denominator. For these fractions, the least common multiple of 5 and 3 is 15.
38/5 can be rewritten as 38 * 3/5 * 3 = 114/15
7/3 can be rewritten as 7 * 5/3 * 5 = 35/15
Now, we can add the two fractions:
114/15 + 35/15 = 149/15
Therefore, the sum of 7 3/5 and 2 1/3 is 149/15.