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A fraction in which either the numerator or the denominator, or both, contain one or more fractions. Also called complex fraction.

*‘What are simple, complex, and compound fractions?’**‘Try to treat it as an introduction to compound fractions and don't get too bogged down in the details.’**‘To convert a simple fraction to a compound fraction, the numerator must be larger than the denominator.’**‘Negative powers should be substituted for compound fractions in complex expressions.’**‘A ratio of simple fractions is a compound fraction in which the numerator and denominator are both decimal fractions.’**‘I want Brad to be a good student, so I told him that multiplying compound fractions was a real important part of that.’**‘Be prepared for Quiz 2 over compound fractions, circles, and x- and y-intercepts!’**‘The simplification would be to reduce the number of signs (don't have the first term negative if possible) and to eliminate the compound fractions by factoring out the least common denominator of the numerators.’*

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