## Multiplying Fractions: Finding 1 3/4 Times 2/3

Let's break down how to multiply the mixed number **1 3/4** by the fraction **2/3**.

### Step 1: Convert the mixed number to a fraction

First, we need to convert the mixed number **1 3/4** to an improper fraction. To do this:

- Multiply the whole number (1) by the denominator of the fraction (4): 1 * 4 = 4
- Add the numerator of the fraction (3): 4 + 3 = 7
- Keep the same denominator: 7/4

Now we have the problem: **7/4 * 2/3**

### Step 2: Multiply the numerators and the denominators

To multiply fractions, we simply multiply the numerators (the top numbers) and the denominators (the bottom numbers):

**Numerator:**7 * 2 = 14**Denominator:**4 * 3 = 12

This gives us the fraction **14/12**.

### Step 3: Simplify the fraction (if possible)

The fraction 14/12 can be simplified. Both the numerator and denominator are divisible by 2:

**14 / 2 = 7****12 / 2 = 6**

Therefore, the simplified answer is **7/6**.

### Answer

**1 3/4 times 2/3 is equal to 7/6.**