Compound fraction

A compound fraction, also called a complex fraction (although it has no relation to 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>