How to simplify Complex Fractions.

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Apr 12th, 2015

In general, we need to start with transforming a complex fraction into a simpler one. 

(x–1 – y–1) / ( x–2 – y–2) =                                         multiply both the numerator and the denominator by x2y2

x2y2(x–1 – y–1) / x2y2( x–2 – y–2) =                            simplify by using distributive law (open the parentheses)

(xy2 – x2y) / ( y2 – x2) =                                            factor both parts of the resulting fraction

xy(y – x) / ( y – x)( y + x) =                                       cancel the common factors

xy / (x + y)


Apr 12th, 2015

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