The remainder is the numerator of the fractional part. A Complex Fraction has fractions in the numerator or the denominator. Partial Fractions describes a technique for splitting a fraction into pieces. This technique will be more formally introduced in Algebra II and is often used in Calculus to simplify a complex expression for ease in integration. The following is an example of a Continued Fraction .
Continued fractions can arise due to recursive definitions.
It can also be useful for finding integer solutions . Yet this, perhaps in a slightly complicated situation, is a very common mistake. Consider what disaster happens when this was done to the examples below. When adding and subtracting fractions, the first step is to get a common denominator . After that the numerators are combined.