Step-by-step explanation:
The least common denominator (LCD) is defined as the least common multiple of the denominators of a set of fractions. In this case, we have the fractions:
![(3)/(x), (2)/(x-11)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/g0e30lup2x6e54xacvu20kdhedwzt7poc1.png)
So the LCD here is the product of
. Therefore:
![LCD=x(x-11)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7xgqyqhddxgscxhx34ingrfb2adaz82eeg.png)
So we can write equivalent expressions as:
![(3(x-11))/(x(x-11)), (2x)/(x(x-11))](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ie6z17708mil98z2gdvnmsi28v5mirg3dh.png)
As you can see, both expression has the same denominator which is the LCD.