Solving Equations with Fractions

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What is a fraction?

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How do you solve an equation with fractions?

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To solve an equation with fractions, find a common denominator, eliminate the fractions by multiplying both sides by that denominator, and then solve the resulting equation.

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The first step is to find a common denominator for all fractions involved, which in this case is 6.

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What does it mean to isolate a variable?

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Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

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What is the reciprocal of a fraction?

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How do you check your solution after solving an equation?

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To check your solution, substitute the value back into the original equation to see if both sides are equal.

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What is the importance of finding a common denominator?

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Finding a common denominator allows you to combine or compare fractions easily, making it simpler to solve equations involving fractions.

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What does it mean if an equation has no solution?

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An equation has no solution if there is no value for the variable that makes the equation true, often resulting in a contradiction.