Final answer:
To add fractions, find a common denominator, convert each fraction, and add the numerators. The results for the provided problems are 1 2/3, 7/10, and 1 1/5 after simplification.
Step-by-step explanation:
To calculate the given fractions, we'll need to find a common denominator for each set of fractions and then add the numerators together. 4/5 + 1/3: The least common denominator of 5 and 3 is 15. So, we convert the fractions to have the same denominator: (4×5) / (5×5) + (1×5) / (3×5) = 20/15 + 5/15 = (20 + 5) / 15 = 25/15 which simplifies to 5/3 or 1 2/3. 2/10 + 2/4: The least common denominator of 10 and 4 is 20. Converting the fractions gives us: (2×2) / (10×2) + (2×5) / (4×5) = 4/20 + 10/20 = (4 + 10) / 20 = 14/20 which simplifies to 7/10. 4/7 + 22/35: Since 35 is already a multiple of 7, we can use 35 as the common denominator: (4×5) / (7×5) + 22/35 = 20/35 + 22/35 = (20 + 22) / 35 = 42/35 which simplifies to 6/5 or 1 1/5.