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3. If you have an equation with fractions in it, what is the process to remove the fractions?

Ask by Fowler Cummings. in the United States
Feb 19,2025

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To remove fractions from an equation, find the lowest common denominator of all fractions, multiply every term by this denominator to eliminate the fractions, simplify, and then solve the equation.

Solución

To remove fractions from an equation, you can use the following process: 1. Identify the lowest common denominator (LCD) of all the fractions in the equation. 2. Multiply every term in the equation by the LCD. This step cancels the denominators. 3. Simplify the resulting expression to obtain an equation without fractions. 4. Continue to solve the simplified equation as usual. For example, if the equation is (1/2)x + (1/3) = x - 5, the LCD of 2 and 3 is 6. Multiply every term by 6 to eliminate the fractions: 6[(1/2)x] + 6[(1/3)] = 6[x] - 6[5] This gives: 3x + 2 = 6x - 30 Now, you can solve this simplified equation for x.

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Mind Expander

To remove fractions from an equation, you can start by identifying the least common denominator (LCD) of all the fractions involved. Once you’ve found the LCD, multiply both sides of the equation by this value. This action has the magical effect of eliminating the fractions, transforming the equation into a cleaner form—almost like pulling a rabbit out of a hat! After clearing the fractions, don’t forget to simplify the equation. This is your chance to combine like terms or isolate the variable. Just be cautious—make sure you don’t introduce errors during simplification. It’s easy to lose track of signs or make arithmetic mistakes in the process!

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