Multiplying Rational Expressions

Help explain steps: [7 / x - 1] * [3x - 3 / 35]
Multiplying fractions - reduce to lowest form

7/(x - 1) * (3x - 3)/35
7/(x - 1) * 3(x - 1)/35 {factored 3 out of 3x - 3}

7(3)(x - 1)
--------------- {multiplied, horizontally, the numerators and denominators}
(x - 1)(35)

= 3/5 {cancelled 7/35 and (x - 1) / (x - 1)}

- Algebra House