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)}

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