## Dividing Fractions: 1 1/4 Divided by 1/2

Dividing fractions can seem tricky, but it's actually quite straightforward once you understand the process. Let's break down how to solve **1 1/4 divided by 1/2**.

### 1. Convert Mixed Number to a Fraction

First, we need to convert the mixed number **1 1/4** into an improper fraction. To do this, multiply the whole number (1) by the denominator (4), then add the numerator (1). Keep the same denominator:

(1 * 4) + 1 = 5
**1 1/4 = 5/4**

### 2. Flip the Second Fraction (Reciprocal)

The next step is to find the reciprocal of the second fraction **1/2**. To do this, simply flip the numerator and denominator:

**1/2 becomes 2/1**

### 3. Multiply the Fractions

Now, instead of dividing, we will multiply the first fraction (5/4) by the reciprocal of the second fraction (2/1):

**5/4 * 2/1**

### 4. Multiply Across

Multiply the numerators together and the denominators together:

**(5 * 2) / (4 * 1) = 10/4**

### 5. Simplify the Result

Finally, simplify the fraction to its lowest terms. Both 10 and 4 are divisible by 2:

**10/4 = 5/2**

### Converting Back to a Mixed Number

If you prefer your answer as a mixed number, convert 5/2 back to a mixed number:

- 2 goes into 5 two times (2 * 2 = 4)
- The remainder is 1 (5 - 4 = 1)
**5/2 = 2 1/2**

Therefore, **1 1/4 divided by 1/2 is equal to 5/2 or 2 1/2**.