The (1) fraction mainly focuses on the simplification and re-evaluation of the fraction. Attention should be paid to the denominator of this kind of problem, and we can't make an appointment casually. Only when the numerator and denominator of a fraction have common factors can it be simplified and the denominator can be removed (it can't be removed in general, which is specially set by others).

For example: (x? The fraction-1)/ (x- 1) is = x+ 1, and the denominator is missing. In fact, the original formula =

(x+1) (x- 1)/(x-1) = x+1,that is, the common factor x-1of the numerator and denominator is omitted.

But (x? - 1)/ (x - 1)= x？ -1 no! ! ! ! ! You removed the denominator for no reason! ! ! ! ! There must be a mistake! ! ! ! !

Remember: the denominator cannot be removed at will! ! ! ! ! ! ! ! ! ! You should strictly follow the four algorithms of fractions. For example, the addition and subtraction of fractions, we must first find the simplest common denominator, do a rough division, become the addition and subtraction of fractions with the same denominator, and then operate.

(2) Fractional equation: The denominator must be removed. The basis of naming: the basic properties of equations.

For example: 6/x+3/(x-1) = 7/(x-1)

First, know that the simplest common denominator is x (x-1); Then multiply the left and right ends of the fractional equation by x (x- 1).

6 (x- 1)+ 3 x = 7 x (this step uses the basic properties of the equation); I believe you can solve the whole equation in the future!

Difference: the simplification of the score is only a score at first, not an equal sign (=), and the equal sign is added by you. So we can't talk about the denominator, and we can't use the basic properties of the equation;

The fractional equation is different. At first, it is an equation with an equal sign (=). Therefore, you can use the basic properties of the equation to name it.

I hope it will help you, and your affirmation is my motivation! ! ! ! ! ! !