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A '''compound fraction''', also called a '''complex fraction''' (although it has no relation to [[complex number|complex numbers]]), is a fraction whose [[numerator]] and/or [[denominator]] is not a [[whole number]]. One example of a compound fraction is <math>\frac{\tfrac{8}{9}}{\tfrac{6}{7}}

A '''compound fraction''', also called a '''complex fraction''' (although it has no relation to [[complex number|complex numbers]]), is a fraction whose [[numerator]] and/or [[denominator]] is not a [[whole number]]. One example of a compound fraction is <math>\frac{\tfrac{8}{9}}{\tfrac{6}{7}}

.</math> They can be simplified by multipling the numerator by the [[reciprocal]] of the denominator. Example: <math>\frac{\tfrac{7}{5}}{\tfrac{4}{5}}</math> can be simplified by: <math>\tfrac{7}{5}\times\tfrac{5}{4}=\tfrac{7}{4}.</math>

.</math> They can be simplified by multipling the numerator by the [[reciprocal]] of the denominator. Example: <math>\frac{\tfrac{7}{5}}{\tfrac{4}{5}}</math> can be simplified by: <math>\tfrac{7}{5}\times\tfrac{5}{4}=\tfrac{7}{4}.</math>