Solving Equations with Fractions The use of the LCD in solving equations with fractions is expanded to include fractions with rational denominators. To solve an equation that contains fractional terms: 1) determine the LCD, 2) multiply all terms of the equation by the LCD … this results in an equation with no fractions, 3) solve the equation, and 4) check the solution in the equation and reject any solution that causes the denominator to become zero. Example 1: … determine the LCD by factoring the denominators… LCD [(p+3), 8, 4(p+3)] = 8(p+3) … multiply all terms by LCD … the result is an equation with no fractions… distribute and solve equation since p = –3 would be the only answer that would causethe denominator to equal zero, p = –5 should be correct Example 2:
… LCD = (r+3)(r–3), multiply all terms by LCD … the result is an equation with no fractions … distribute and solve equation
Remember, you must test
your solution for validity by substituting r = 3 in the
denominator and checking for zeros. For this problem, when testing
your solution the denominator becomes zero; therefore, there is no
solution to this equation. The views and
opinions expressed in this page are strictly those of Mary Lou Baker. This page was edited on 06-Nov-2007 |