## Dividing Fractions: 1 1/4 ÷ 1/4

Dividing fractions can seem tricky, but it's actually quite straightforward. Let's break down how to solve **1 1/4 ÷ 1/4**.

### Step 1: Convert the Mixed Number to a Fraction

First, we need to convert the mixed number **1 1/4** into an improper fraction.

- Multiply the whole number (1) by the denominator of the fraction (4): 1 x 4 = 4
- Add the numerator of the fraction (1): 4 + 1 = 5
- Keep the same denominator (4):
**5/4**

Now our problem is **5/4 ÷ 1/4**.

### Step 2: Invert the Divisor and Multiply

The key to dividing fractions is to **invert the second fraction (the divisor) and multiply.**

- The divisor is
**1/4**, so its inverse is**4/1**. - Now our problem becomes
**5/4 x 4/1**.

### Step 3: Multiply the Numerators and Denominators

- Multiply the numerators: 5 x 4 = 20
- Multiply the denominators: 4 x 1 = 4
- This gives us
**20/4**.

### Step 4: Simplify the Result

- The fraction
**20/4**can be simplified by dividing both numerator and denominator by their greatest common factor (4). **20/4 = 5/1**

### Solution: 1 1/4 ÷ 1/4 = 5/1 or 5

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