## 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**.

### Converting Mixed Numbers to Fractions

Before multiplying, we need to convert the mixed numbers into improper fractions. Here's how:

**1 1/6:**Multiply the whole number (1) by the denominator (6) and add the numerator (1). This gives us 7. Keep the same denominator (6). So, 1 1/6 becomes 7/6.**6 3/4:**Multiply the whole number (6) by the denominator (4) and add the numerator (3). This gives us 27. Keep the same denominator (4). So, 6 3/4 becomes 27/4.

### Multiplication of Fractions

Now we can multiply the improper fractions:

(7/6) x (27/4)

To multiply fractions, we multiply the numerators and the denominators:

(7 x 27) / (6 x 4)

This simplifies to 189/24.

### Simplifying the Result

The fraction 189/24 can be simplified. Both the numerator and denominator share a common factor of 3. Dividing both by 3, we get:

63/8

### Converting Back to a Mixed Number

Finally, we can convert the improper fraction 63/8 back to a mixed number:

- Divide the numerator (63) by the denominator (8). 63 divided by 8 is 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.
- Keep the same denominator (8).

Therefore, the final answer is **7 7/8**.