## Subtracting Fractions: 1 1/3 - 5/6

This article will guide you through the steps of subtracting the fractions **1 1/3** and **5/6**.

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

First, we need to convert the mixed number **1 1/3** into an improper fraction. To do this, we multiply the whole number (1) by the denominator (3) and add the numerator (1), keeping the same denominator.

(1 x 3) + 1 = 4
**1 1/3** becomes **4/3**

### Step 2: Find a Common Denominator

The fractions **4/3** and **5/6** have different denominators. To subtract them, we need to find a common denominator. The least common multiple of 3 and 6 is 6.

**4/3**needs to be multiplied by 2/2 (which equals 1, so we aren't changing the value): (4/3) x (2/2) =**8/6**

### Step 3: Subtract the Fractions

Now that both fractions have the same denominator, we can subtract them:

**8/6** - **5/6** = **3/6**

### Step 4: Simplify the Fraction

The fraction **3/6** can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 3.

**3/6** simplifies to **1/2**

### Conclusion

Therefore, **1 1/3 - 5/6 = 1/2**.