Answer:
So, 7 2/3 + 2 1/5 = 148/15 or 9 13/15.
Explanation:
To add 7 2/3 and 2 1/5, we need to find a common denominator for the fractions. The smallest number that both 3 and 5 divide evenly into is 15.
Converting 7 2/3 to an improper fraction:
7 2/3 = (7 × 3 + 2)/3 = 23/3
Converting 2 1/5 to an improper fraction:
2 1/5 = (2 × 5 + 1)/5 = 11/5
Now we can add the fractions:
23/3 + 11/5 = (23 × 5 + 11 × 3)/(3 × 5) = 115/15 + 33/15
= 148/15