Arithmetic : Fractions

Complex Fractions

If the numerator and denominator of a fraction are themselves fractions, then it is called a complex fraction.

To simplify a complex fraction, its numerator is divided by its denominator (or multiplied by the reciprocal of its denominator).
For example,

Example
It takes 1¾ hours to fill water into a large tank at a constant rate. What fraction of the tank is filled in a ½-hour?
Solution.