## Dividing Fractions: 1 1/5 ÷ 1/4

Dividing fractions can seem tricky, but it's actually quite simple once you understand the process. Let's break down how to solve **1 1/5 ÷ 1/4** and express the answer as a fraction.

### Step 1: Convert the mixed number to an improper fraction.

**1 1/5**is the same as (1 x 5 + 1)/5 =**6/5**

### Step 2: Remember the rule for dividing fractions.

- Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of
**1/4**is**4/1**.

### Step 3: Multiply the fractions.

**(6/5) ÷ (1/4) = (6/5) x (4/1)**

### Step 4: Simplify the product.

**(6/5) x (4/1) = (6 x 4) / (5 x 1) = 24/5**

### Step 5: Convert the improper fraction to a mixed number (optional).

**24/5**is the same as**4 4/5**

Therefore, **1 1/5 ÷ 1/4** is equal to **24/5** or **4 4/5**.