## Dividing Fractions: 1 1/4 Divided by 2/3

Dividing fractions can seem tricky, but it's actually a straightforward process. Here's how to solve **1 1/4 divided by 2/3**.

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

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

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

Now our problem is **5/4 divided by 2/3**.

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

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of **2/3** is **3/2**.

So, our problem becomes **5/4 multiplied by 3/2**.

### Step 3: Multiply the Numerators and Denominators

**Numerators:**5 * 3 = 15**Denominators:**4 * 2 = 8

This gives us **15/8**.

### Step 4: Simplify the Fraction

**15/8** is an improper fraction (the numerator is greater than the denominator). We can convert this to a mixed number:

- Divide the numerator (15) by the denominator (8): 15 ÷ 8 = 1 with a remainder of 7.
- The quotient (1) becomes the whole number.
- The remainder (7) becomes the numerator.
- The denominator stays the same (8).

Therefore, **1 1/4 divided by 2/3** equals **1 7/8**.