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127
ALGEBRA
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127
155. From the preceding article we deduce an easy method of writing down the simplified form of a complex fraction.
Multiply the extremes for a new numerator, and the means for a new denominator. {{a + x }{b} }{ a2 — x2 }{ab} ={ab(a + x)}{ b{a2 — x2) } ={a — x}{ ab}
by cancelling common factors in numerator and denominator.
156. The student should especially notice the following cases, and should be able to write off the results readily. .
157. We now proceed to show how complex fractions can be reduced by the rules already given.
Ex.1.
Ex. 2.