Solving Equations with Fractions

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What is a fraction?

Back

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How do you solve an equation with fractions?

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To solve an equation with fractions, you can eliminate the fractions by multiplying both sides of the equation by the least common denominator (LCD).

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions.

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Back

w = 12.

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z = 12.

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Back

x = 9.

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The first step is to eliminate the fractions by multiplying through by the least common denominator.

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What does it mean to isolate the variable in an equation?

Back

Isolating the 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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x = 7.

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What is the principle of equality in solving equations?

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The principle of equality states that if you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.