## Dividing Fractions: A Step-by-Step Guide to 1 1/2 ÷ 2/5

Dividing fractions can seem intimidating, but with the right approach, it becomes a breeze! Let's break down how to solve **1 1/2 ÷ 2/5** in a step-by-step manner.

### 1. Convert Mixed Number to an Improper Fraction

Firstly, let's transform the mixed number **1 1/2** into an improper fraction.

- Multiply the whole number (1) by the denominator of the fraction (2): 1 * 2 = 2
- Add the numerator (1) to the result: 2 + 1 = 3
- Keep the same denominator (2):
**3/2**

Now our problem becomes **3/2 ÷ 2/5**.

### 2. The "Flip and Multiply" Rule

The key to dividing fractions is to **flip the second fraction (the divisor) and multiply**. This means we'll change **2/5** to **5/2**.

### 3. Multiplication

We now have: **3/2 × 5/2**

To multiply fractions, simply multiply the numerators and the denominators:

**3 × 5 = 15****2 × 2 = 4**

This gives us a final answer of **15/4**.

### 4. Simplification (Optional)

The fraction **15/4** can be simplified into a mixed number if desired.

- Divide the numerator (15) by the denominator (4): 15 ÷ 4 = 3 with a remainder of 3
- The quotient (3) becomes the whole number part of the mixed number.
- The remainder (3) becomes the numerator of the fraction.
- Keep the same denominator (4):
**3 3/4**

Therefore, **1 1/2 ÷ 2/5** equals **15/4** or **3 3/4**.