## Simplifying the Fraction 1 1/6 x 6 3/4

To simplify the expression **1 1/6 x 6 3/4**, we need to follow these steps:

### 1. Convert Mixed Numbers to Improper Fractions

**1 1/6:**(6 x 1) + 1 = 7. Keep the denominator, so 1 1/6 becomes**7/6**.**6 3/4:**(4 x 6) + 3 = 27. Keep the denominator, so 6 3/4 becomes**27/4**.

### 2. Multiply the Fractions

Now we have: **(7/6) x (27/4)**. To multiply fractions, we multiply the numerators and the denominators:

- (7 x 27) / (6 x 4) = 189/24

### 3. Simplify the Fraction

The fraction 189/24 can be simplified by finding the greatest common factor (GCF) of 189 and 24. The GCF is 3.

- Divide both the numerator and denominator by 3: 189/3 = 63 and 24/3 = 8

Therefore, the simplified form of the fraction **1 1/6 x 6 3/4** is **63/8**.