Complex Fractions: Problem 3

Rule 24:
To manipulate complex fractions, just convert them to simple fractions and follow rules 1 through 23 for simple fractions.

Problem 3:
Convert tex2html_wrap_inline118 to a simple fraction and reduce.

Answer:

tex2html_wrap_inline120

Solution 1:

The numerator tex2html_wrap_inline122 can be written tex2html_wrap_inline124 which in turn can be written tex2html_wrap_inline126

The denominator tex2html_wrap_inline128 can be written tex2html_wrap_inline130 which in turn can be written tex2html_wrap_inline132

The fraction can now be written tex2html_wrap_inline134 . Multiply by 1 in the form of the complex fraction tex2html_wrap_inline136 .

displaymath138

Solution 2:
Multiply the numerator by 1 in the form tex2html_wrap_inline140 , and multiply the denominator by 1 in the form tex2html_wrap_inline142 .

displaymath144

Multiply tex2html_wrap_inline134 by 1 in the form tex2html_wrap_inline136 .

displaymath150

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Author: Nancy Marcus

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