Question

Determine the quotient, in simplified form, of the rational expression (x-1)/(6xy)-:(5)/(2y).

Answer 1

To determine the quotient of the rational expression (x-1)/(6xy)-:(5)/(2y), simplify the expression by dividing and multiplying the fractions, and then cancel out common factors.

Step-by-step explanation:

To determine the quotient of the rational expression (x-1)/(6xy)-:(5)/(2y), we can simplify the expression first:

1. Divide (x-1) by 6xy: (x-1)/(6xy).
2. Divide (5) by (2y): 5/(2y).
3. Take the reciprocal of the second expression: (2y)/5.
4. Now we can multiply the two fractions: (x-1)/(6xy) × (2y)/5.
5. Simplify the resulting expression by canceling common factors.

Final quotient: (x-1)/(3x^2).