## Multiplying Mixed Numbers: 1 1/6 x 6 3/4

This article will guide you through the process of multiplying the mixed numbers 1 1/6 and 6 3/4.

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

**1 1/6:**Multiply the whole number (1) by the denominator (6) and add the numerator (1), keeping the same denominator: (1 x 6) + 1 = 7/6**6 3/4:**Multiply the whole number (6) by the denominator (4) and add the numerator (3), keeping the same denominator: (6 x 4) + 3 = 27/4

### Step 2: Multiply the Improper Fractions

Now we have the problem: 7/6 x 27/4.

- To multiply fractions, we multiply the numerators and the denominators: (7 x 27) / (6 x 4) = 189/24

### Step 3: Simplify the Result

- Find the greatest common factor (GCD) of 189 and 24, which is 3.
- Divide both the numerator and denominator by 3: 189/3 = 63 and 24/3 = 8
- The simplified fraction is 63/8.

### Step 4: Convert Back to a Mixed Number (Optional)

- Divide the numerator (63) by the denominator (8): 63 ÷ 8 = 7 with a remainder of 7.
- The whole number is 7, the numerator is the remainder (7), and the denominator stays the same (8).
- The final answer in mixed number form is
**7 7/8**.

Therefore, 1 1/6 times 6 3/4 equals **63/8** or **7 7/8**.