## Adding Fractions: 1 1/2 + 1/3

Adding fractions can seem tricky, especially when dealing with mixed numbers like 1 1/2. But with the right steps, it becomes a breeze! Let's break down how to add 1 1/2 and 1/3:

### 1. Convert Mixed Number to a Fraction

First, we need to convert the mixed number 1 1/2 into a fraction.

**Multiply the whole number (1) by the denominator (2):**1 * 2 = 2**Add the numerator (1):**2 + 1 = 3**Keep the same denominator (2):**3/2

Now we have our problem as 3/2 + 1/3.

### 2. Find a Common Denominator

To add fractions, they need to have the same denominator. The smallest common denominator for 2 and 3 is 6.

**Multiply 3/2 by 3/3:**(3 * 3) / (2 * 3) = 9/6**Multiply 1/3 by 2/2:**(1 * 2) / (3 * 2) = 2/6

Now our problem is 9/6 + 2/6.

### 3. Add the Numerators

Since the denominators are the same, we can simply add the numerators: 9 + 2 = 11

### 4. Keep the Denominator

The denominator stays the same: 11/6

### 5. Simplify (if possible)

The fraction 11/6 is an improper fraction (the numerator is larger than the denominator). We can simplify it by converting it back to a mixed number:

**Divide the numerator (11) by the denominator (6):**11 / 6 = 1 with a remainder of 5**The whole number is 1, the numerator is the remainder (5), and the denominator stays the same (6):**1 5/6

### Conclusion

Therefore, 1 1/2 + 1/3 is equal to **1 5/6**.