4.9: Solving Equations with Fractions

Our first step when solving these equations is to get rid of the fractions because they are not easy to work with! Let see what happens with a typical two-step equation with the distributive property. In this problem, we would typically

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Equations with fractions

Solved example of algebraic fractions \frac {\left (1-x^2\right)^2} {x^2+2x+1} x2 +2x +1(1− x2)2 2 The trinomial x^2+2x+1 x2 +2x+1 is a perfect square trinomial, because it's discriminant is

Equations with Fractions

To do this, we simply multiply the entire equation by the least common multiple of the denominators, of the fractions in the problem. In this case, our denominators are 5 and 10

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Solving fractional equations

Firstly we need to find the least common denominator (LCD) of the fractions found in the equation, which is the smallest number that can be a common denominator for both of

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How to solve equations with fractions

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