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

Dividing fractions can seem tricky, but with a little understanding, it becomes simple. Let's break down how to solve **1 1/2 divided by 1/4**.

### 1. Convert Mixed Number to a Fraction

First, we need to convert the mixed number, **1 1/2**, into an improper fraction. We do this by multiplying the whole number (1) by the denominator of the fraction (2) and adding the numerator (1). This gives us **3/2**.

### 2. The Reciprocal Rule

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is found by flipping the numerator and denominator. So, the reciprocal of **1/4** is **4/1**.

### 3. Multiplication

Now we have: **3/2 divided by 1/4** becomes **3/2 multiplied by 4/1**.

### 4. Multiplying Fractions

To multiply fractions, we multiply the numerators and the denominators.

**(3 * 4) / (2 * 1) = 12/2**

### 5. Simplify

Finally, we simplify the resulting fraction: **12/2 = 6**.

Therefore, **1 1/2 divided by 1/4 is equal to 6**.