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

This article will guide you through the steps 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): 1 * 6 + 1 = 7. Keep the same denominator (6). This gives us 7/6.**6 3/4:**Multiply the whole number (6) by the denominator (4) and add the numerator (3): 6 * 4 + 3 = 27. Keep the same denominator (4). This gives us 27/4.

### Step 2: Multiply the Fractions

- Multiply the numerators: 7 * 27 = 189
- Multiply the denominators: 6 * 4 = 24

Now we have the fraction 189/24.

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

Both 189 and 24 are divisible by 3. Simplifying the fraction gives us 63/8.

### Step 4: Convert the Improper Fraction back to a Mixed Number

- Divide the numerator (63) by the denominator (8): 63 ÷ 8 = 7 with a remainder of 7.
- The quotient (7) becomes the whole number part of the mixed number.
- The remainder (7) becomes the numerator of the fraction.
- The denominator remains the same (8).

Therefore, 1 1/6 x 6 3/4 equals **7 7/8**.