Divide. (6x-12)/(21x-14)div (2x-4)/(3x-2) Simplify your answer as much as possible. square

To divide the given rational expressions, we multiply the first expression by the reciprocal of the second expression. Given: \frac {6x-12}{21x-14}\div \frac {2x-4}{3x-2} Step 1: Find the reciprocal of the second fraction.Reciprocal of is .Step 2: Multiply the first fraction by the reciprocal of the second fraction. \frac {6x-12}{21x-14} \times \frac {3x-2}{2x-4} Step 3: Simplify the expression. \frac {(6x-12)(3x-2)}{(21x-14)(2x-4)} Step 4: Factor out common terms in the numerator and denominator. \frac {6(3x-2)}{21(2x-4)} Step 5: Simplify further. \frac {18x-12}{42x-28} Step 6: Simplify the fraction. \frac {18x-12}{42x-28} = \frac {3(6x-2)}{7(6x-2)} Step 7: Cancel out common terms. \frac {3}{7} Therefore, the simplified expression is .