## Dividing Fractions: 1 1/2 ÷ 7/8

Dividing fractions can seem daunting, but it's actually quite simple once you understand the process. Here's how to solve **1 1/2 ÷ 7/8**:

### Step 1: Convert Mixed Numbers to Improper Fractions

First, convert the mixed number **1 1/2** to an improper fraction.

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

Now our problem looks like this: **3/2 ÷ 7/8**

### Step 2: Invert the Second Fraction and Multiply

The rule for dividing fractions is to **invert the second fraction and multiply**.

- Invert 7/8 to become 8/7.

Now our problem becomes: **3/2 x 8/7**

### Step 3: Multiply the Numerators and Denominators

- Multiply the numerators: 3 x 8 = 24
- Multiply the denominators: 2 x 7 = 14

This gives us: **24/14**

### Step 4: Simplify the Result

The fraction 24/14 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2:

- 24 ÷ 2 = 12
- 14 ÷ 2 = 7

Therefore, **1 1/2 ÷ 7/8 = 12/7**

### Expressing the Answer

The answer can also be expressed as a mixed number: **1 5/7**

You can also convert it to a decimal: **approximately 1.71**.