Partial Fractions in the Set of Rationals

numerator

denominator

13

210

= -2+

1

3

+

3

7

+

1

2

+

4

5

This demonstrates the existence of a partial fraction decomposition over



. In this type of decomposition, the prime factorization replaces the traditional irreducible polynomial factorization used in decomposing elements in

(x)

.