## Multiplying Mixed Numbers: 1 3/4 times 2 2/3

This article will guide you through multiplying mixed numbers in fraction form, specifically **1 3/4 times 2 2/3**.

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

**1 3/4:**Multiply the whole number (1) by the denominator (4) and add the numerator (3). Keep the same denominator. This gives us**7/4**.**2 2/3:**Multiply the whole number (2) by the denominator (3) and add the numerator (2). Keep the same denominator. This gives us**8/3**.

### Step 2: Multiply the Improper Fractions

- Multiply the numerators: 7 x 8 = 56
- Multiply the denominators: 4 x 3 = 12
- This gives us
**56/12**.

### Step 3: Simplify the Resulting Fraction

- Find the greatest common factor (GCD) of 56 and 12, which is 4.
- Divide both the numerator and denominator by 4: 56 / 4 = 14 and 12 / 4 = 3.

### Final Answer

Therefore, **1 3/4 times 2 2/3** equals **14/3**.

**Note:** You can also express the answer as a mixed number, which is **4 2/3**.