Rule 25: Complex Fractions

To multiply two complex fractions, convert the fractions to simple fractions and follow the steps you use to multiply two simple fractions.

Example:
Calculate tex2html_wrap_inline104 .
Solution 1:
Convert the numerator tex2html_wrap_inline106 to a simple fraction. tex2html_wrap_inline106 can be written tex2html_wrap_inline110 .

Convert the denominator to a simple fraction. tex2html_wrap_inline112 can be written tex2html_wrap_inline114 . The problem tex2html_wrap_inline104 can now be written tex2html_wrap_inline118 . Multiply the numerators and multiply the denominators. tex2html_wrap_inline120 . The problem is reduced by tex2html_wrap_inline122 .

Solution 2:
Convert the 8 to a fraction, multiply the numerators, and multiply the denominators. tex2html_wrap_inline124 .

If you want to review another example, click on the word Example.
Work the following problems and click on Answer if you want to check the answer and review the solution.

Problem 1:
tex2html_wrap_inline126 .

Answer

Problem 2:
tex2html_wrap_inline128 .

Answer

Problem 3:
tex2html_wrap_inline130 .

Answer

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Author: Nancy Marcus

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