(1) can be simplified first;

(2) Multiply both sides of the equation by the simplest common denominator and convert it into an integral equation (generally, we can convert it into a linear equation);

(3) solving the integral equation;

(4) check the root, this step is essential, which is determined by the basic nature of the score. The basic nature of the fraction requires that the algebraic expressions that are not zero should also be multiplied and divided equally, but when simplifying and multiplying by the simplest common denominator, it cannot be guaranteed to be non-zero, so it is necessary to check the root.

2. Practical application of fractional equation.

Steps to solve practical problems with fractional equation;

Steps: examining questions-setting unknowns-listing equations-solving equations-testing-solving. Does it look familiar? Yes, the application of one-dimensional linear equation and two-dimensional linear equation is this step, but the listed equations are different. I will explain the application of fractional equation according to practical problems in the next article.

Extended data:

Problem solving process:

1, denominator

Multiply both sides of the equation by the simplest common denominator at the same time, and turn the fractional equation into an integral equation; If you encounter the opposite number. Don't forget to change the symbol.

(The simplest common denominator: ① coefficient takes the least common multiple ② unknown takes the highest power ③ the factor that appears takes the highest power)

Step 2 move the project

Move the term, if there are brackets, first remove the brackets, pay attention to the sign change, merge similar terms, change the coefficient into 1, and find the unknown value;

3. Root test

After finding the value of the unknown quantity, it is necessary to check the root, because in the process of transforming the fractional equation into the whole equation, the range of the unknown quantity is expanded, which may increase the root.

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 all the roots are augmented, the original equation has no solution.

If the score itself is divided, it should also be substituted into the test. When solving an application problem with a column fraction equation, it is necessary to check whether the obtained solution meets the equation and the meaning of the problem.

Generally speaking, when solving fractional equations, the solution of the whole equation after removing the denominator may make the denominator in the original equation zero, so we should substitute the solution of the whole equation into the simplest common denominator. If the value of the simplest common denominator is not zero, it is the solution of the equation.

Baidu encyclopedia-fractional equation