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.