7 3/5 +2 1/3
To add these mixed numbers, we first need to convert them to improper fractions.
To convert 7 3/5 to an improper fraction, we multiply the whole number (7) by the denominator (5) and add it to the numerator (3).
7 x 5 = 35
35 + 3 = 38
So, 7 3/5 can be written as the improper fraction 38/5.
To convert 2 1/3 to an improper fraction, we follow the same steps.
2 x 3 = 6
6 + 1 = 7
So, 2 1/3 can be written as the improper fraction 7/3.
Now, we can add the two improper fractions.
38/5 + 7/3
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 15 because 5 and 3 both divide evenly into 15.
Next, we need to adjust the numerators so that the fractions have the same denominator.
For 38/5, we multiply the numerator and denominator by 3 to get 114/15.
For 7/3, we multiply the numerator and denominator by 5 to get 35/15.
Now, we can add the fractions.
114/15 + 35/15 = 149/15.
Therefore, 7 3/5 + 2 1/3 = 149/15.