## Dividing Fractions: 1 1/2 ÷ 7/8

Dividing fractions can seem tricky, but it's actually a simple process! Let's break down how to solve **1 1/2 ÷ 7/8**.

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

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

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

### Step 2: Invert the Second Fraction (Divisor)

The next step is to flip the second fraction, **7/8**, which is called finding its reciprocal.

**7/8**becomes**8/7**.

### Step 3: Multiply the Fractions

Now, we simply multiply the first fraction (**3/2**) by the reciprocal of the second fraction (**8/7**).

**(3/2) x (8/7)**

### Step 4: Simplify (If Possible)

Multiply the numerators and the denominators:

**(3 x 8) / (2 x 7) = 24/14**

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:

**24/14 = 12/7**

Therefore, **1 1/2 ÷ 7/8 = 12/7**.

You can also express this as a mixed number: **1 5/7**.