Question

Как решить уравнение в дробях

Answer 1

Как то так
делать нужно подействиям

Answer 2

Solving Equations with Fractions

Solving equations involving fractions can be done using various methods, such as finding a common denominator, clearing the fractions, or using the cross multiplication method. Here's a general approach to solving equations with fractions:

1. Find a Common Denominator: - Identify the least common multiple of the denominators in the equation. - Multiply both sides of the equation by this common denominator to eliminate the fractions.

2. Clear the Fractions: - Multiply both sides of the equation by the product of all the denominators to clear the fractions.

3. Cross Multiplication Method: - For equations with proportions or ratios, the cross multiplication method can be used to solve for the variable.

4. Example: - Let's consider the equation \( \frac{2}{3}x + \frac{1}{4} = \frac{5}{6} \) and solve it using the common denominator method.

- Step 1: Find the least common multiple of the denominators, which is 12. - Step 2: Multiply both sides of the equation by 12 to eliminate the fractions: ``` 12 * (\frac{2}{3}x) + 12 * (\frac{1}{4}) = 12 * (\frac{5}{6}) 8x + 3 = 10 ```

- Step 3: Solve for x: ``` 8x = 10 - 3 8x = 7 x = \frac{7}{8} ```

This is a basic example, and more complex equations may require additional steps.

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