Answer: 1 9/40
Step-by-step explanation: To add these fractions, we need to find a common denominator. The least common multiple of 5 and 8 is 40.
So, we can rewrite the fractions with denominators of 40:
3/5 = 24/40 (multiply numerator and denominator by 8)
5/8 = 25/40 (multiply numerator and denominator by 5)
Now, we can add the fractions:
3/5 + 5/8 = 24/40 + 25/40 = 49/40
To write the answer as a mixed number, we need to divide the numerator by the denominator:
49 ÷ 40 = 1 remainder 9
So the mixed number is:
1 9/40