
Как решить дробное вырожение


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Solving Fractional Expressions
To solve a fractional expression, follow these general steps:
1. Isolate the Variable: - First, isolate the variable on one side of the equation by performing inverse operations. For example, if the variable is in the denominator, multiply both sides of the equation by the denominator to eliminate it.
2. Perform Operations: - Perform the necessary operations to simplify the equation and solve for the variable.
3. Check Your Solution: - Always check your solution by substituting the value back into the original equation to ensure it satisfies the equation.
Let's consider an example to illustrate the process.
Example:
Given the equation: \( \frac{1}{x} + 2 = 5 \)1. Isolate the Variable: - Subtract 2 from both sides: \( \frac{1}{x} = 3 \) - Take the reciprocal of both sides: \( x = \frac{1}{3} \)
2. Check Your Solution: - Substitute \( x = \frac{1}{3} \) back into the original equation: \( \frac{1}{\frac{1}{3}} + 2 = 5 \) - Simplify to verify the solution: \( 3 + 2 = 5 \), which is true.
Therefore, the solution to the equation \( \frac{1}{x} + 2 = 5 \) is \( x = \frac{1}{3} \).
This process can be applied to various types of fractional expressions to solve for the variable.


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