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

Adding fractions can be a bit tricky, especially when dealing with mixed numbers. Let's break down how to solve **1 1/3 + 1/2**.

### Step 1: Convert Mixed Number to Improper Fraction

First, we need to convert the mixed number **1 1/3** into an improper fraction.

- Multiply the whole number (1) by the denominator of the fraction (3): 1 x 3 = 3
- Add the numerator (1): 3 + 1 = 4
- Keep the same denominator (3):
**4/3**

Now we have the equation: **4/3 + 1/2**

### Step 2: Find a Common Denominator

Before we can add fractions, they need to have the same denominator. The least common multiple of 3 and 2 is 6.

- To get 6 as the denominator for 4/3, multiply both numerator and denominator by 2: (4 x 2) / (3 x 2) =
**8/6** - To get 6 as the denominator for 1/2, multiply both numerator and denominator by 3: (1 x 3) / (2 x 3) =
**3/6**

Now our equation looks like this: **8/6 + 3/6**

### Step 3: Add the Numerators

With the same denominator, we can now simply add the numerators:

8/6 + 3/6 = **11/6**

### Step 4: Simplify to a Mixed Number (Optional)

The answer 11/6 is an improper fraction. We can convert it back to a mixed number.

- Divide the numerator (11) by the denominator (6): 11 ÷ 6 = 1 with a remainder of 5
- The quotient (1) becomes the whole number part of the mixed number
- The remainder (5) becomes the numerator of the fraction, with the same denominator (6):
**1 5/6**

Therefore, **1 1/3 + 1/2 = 11/6 or 1 5/6**.