Simplifying the Fraction: 9/11 x 1/5 x 2/3
To simplify the fraction 9/11 x 1/5 x 2/3, we follow these steps:
1. Multiply the Numerators
The numerators are the top numbers of each fraction. So, we multiply: 9 x 1 x 2 = 18
2. Multiply the Denominators
The denominators are the bottom numbers of each fraction. We multiply: 11 x 5 x 3 = 165
3. Create the New Fraction
The new fraction is formed with the product of the numerators as the numerator and the product of the denominators as the denominator: 18/165
4. Simplify the Fraction
We can simplify the fraction 18/165 by finding the greatest common factor (GCD) of 18 and 165. The GCD is 3. We divide both the numerator and denominator by 3:
- 18 ÷ 3 = 6
- 165 ÷ 3 = 55
Therefore, the fraction 9/11 x 1/5 x 2/3 in its simplest form is 6/55.
