An equation containing only integer equations and fractional equations with letters in the denominator is called a fractional equation.

Solution of fractional equation

(1) Denominator {the two sides of the equation are multiplied by the simplest common denominator (the simplest common multiple: the lowest common multiple, the highest power of the same letter, the copy only contained in one denominator), and the fractional equation is transformed into an integral equation; If you meet the opposite number, don't forget to change the sign. (2) According to the steps of solving the integral equation (shift the term, remove the brackets if there are brackets, pay attention to the sign change, merge similar terms, and convert them into 1), and find out the unknown value; ③ Root test (root test is needed after finding the value of the unknown quantity, because in the process of transforming the fractional equation into the whole equation, the range of the unknown quantity is expanded, which may lead to the increase of roots).

When finding the root, substitute the root of the whole equation into the simplest common denominator. If the simplest common denominator is equal to 0, this root is an added root. Otherwise, this root is the root of the original fractional equation. If the root of the solution is an increasing root, the original equation has no solution.

If the score itself is divided, it should also be brought in for inspection.

When solving an application problem with a column fraction equation, it is necessary to check whether the solution satisfies the equation and whether the solution satisfies the meaning of the problem.

Induction:

The basic idea of solving the fractional equation is to turn the fractional equation into an integral equation, and the specific method is to "remove the denominator", that is, both sides of the equation are multiplied by the simplest common denominator, which is also the general idea and practice of solving the fractional equation.