# solving algebraic fractions template

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as you review the examples, note the steps involved in each operation and any methods that will save you time. to multiply algebraic fractions, first factor the numerators and denominators that are polynomials; then, reduce where possible. multiply the remaining numerators together and denominators together. to divide algebraic fractions, invert the second fraction and multiply.

to add or subtract algebraic fractions having a common denominator, simply keep the denominator and combine (add or subtract) the numerators. to add or subtract algebraic fractions having different denominators, first find a lowest common denominator (lcd), change each fraction to an equivalent fraction with the common denominator, and then combine each numerator. to find the lowest common denominator, it is often necessary to factor the denominators and proceed as follows. a problem like that is found in the next example.

to reduce an algebraic fraction to lowest terms, first factor the numerator and the denominator; then reduce, (or when solving equations containing algebraic fractions, first multiply both sides by a number/expression which solving equations with algebraic fractions. example. 9. get rid of the bottom numbers (denominators) by multiplying , algebraic fractions worksheet, algebraic fractions worksheet, solving algebraic fractions worksheet, algebraic fractions examples, algebraic fractions division.

(see why this works on the common denominator page). example: x 2 + y 5 = (x )(5) + (2)(y) (2)( example 1. a, = ? b. solution. to explain the solution, we will write a as, a 1 solution think of 12a as . answer. (a. 0). example 3. multiply and simplify the product , algebraic fractions ks3, algebraic fractions questions, algebraic fractions questions, simplifying algebraic fractions, algebraic fractions multiplication

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