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.
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.
Fractional equation is a key equation in junior high school mathematics, and it is also one of the knowledge points frequently tested in senior high school entrance examination. Every test must pass the test, and everyone will know. It is relatively difficult to solve the fractional equation, and the general solution is as follows:
First, find the simplest common denominator of all fractions, and then multiply each term in the equation by this simplest common denominator at the same time to get an integral equation. Solve this integral equation, find the solution of the integral equation, and finally check the root. Substitute the solution of the obtained integral equation into the simplest common denominator. If the simplest common denominator is not equal to 0, this solution is the solution of the fractional equation. If it is equal to 0, it is the root of the fractional equation.
The solution of fractional equation;
The first step is to remove the denominator, and multiply both sides of the equation by the simplest common denominator of each denominator, and the solution is 3÷(x+ 1)=5÷(x+3). Multiply by (x+ 1)(x+3) to remove the denominator.
Step 2, remove the brackets and multiply the coefficients by the numbers in brackets respectively.
The third step is to move the term, the unknown formula to the left of the equation, and the constant to the right of the equation.
The fourth step is to merge similar items.
The fifth step is to convert the coefficient into 1. The basic property of an equation is to multiply or divide a number at the same time. The equation remains the same, just like a balance. Divide this by -2.
Step 6, check: substitute the solution of the equation into the fractional equation to check whether it is correct.