Add 3/5 to 2/9: 37/45

Step-by-Step Solution

35 + 29 = 3745

💡 To add fractions, we need them to have the same denominator (bottom number). Think of it like this: you can't add halves to thirds directly - you need to convert them to the same-sized pieces first.

① Step 1: Find a common denominator

We need to find a denominator that works for both fractions. A simple way is to multiply the denominators together:

5 × 9 = 45

② Step 2: Convert both fractions to have this common denominator

For 35: multiply both top and bottom by 9

35 = 3×95×9 = 2745

For 29: multiply both top and bottom by 5

29 = 2×59×5 = 1045

③ Step 3: Now add the numerators

Since the denominators are the same, we can add the top numbers:

2745 + 1045 = 27 + 1045 = 3745

✓ Final Answer:

3745 or 0.822222 in decimal