Step 1: Remove the denominator. 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, in which the formula with unknown number moves to the left of the equation and the constant moves 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.
Equations with unknowns in the denominator are called fractional equations. For example, 3/x=- 1,1(x-2) = 3/x are all called fractional equations; In (x- 1)/2=2x/3, although some terms contain denominators, the denominators do not contain unknowns, so they are still integral equations, not fractional equations.
Whether there is an unknown number in the denominator is a remarkable sign to distinguish the whole equation from the fractional equation.
Fractional equation is a generalization of integral equation such as linear equation with one variable and linear equation with two variables. Generally speaking, when solving the fractional equation, we should first convert the fractional equation into an integral equation, then find the solution of the converted integral equation, and then get the solution of the fractional equation by testing or explaining that the fractional equation has no solution.