Definition A complex fraction is a fraction where the numerator denominator or both contain a...
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Definition A complex fraction is a fraction where the numerator denominator or both contain a fraction Simplifying complex rational expressions Method 1 Division Method Step 1 Rewrite the complex fraction as a division use parentheses top expression bottom expression Step 2 Perform addition subtraction to combine the expressions in each group into a single rational expression using the LCD if necessary Step 3 Perform division Step 4 Simplify Method 2 Multiplying the LCD Step 1 Find the least common denominator of both the top and the bottom together Step 2 Multiply each term by the LCD and simplify Step 3 Simplify the resultant rational expression 5 Simplify Method 1 Method 2 Example 2 x 1 X 1 X 2 1 1 3 2 1 1 2 x 1 1 x 1 2x 2 x 1 x 1 2x 2 1 x 1 2x 3 x 1 2 x 1 X 2x 3 LCD x 1 x 1 x 1 2 x 1 x 1 x 1 X 1 Cross cancel x 1 2x 2 1 x 2x 3 x
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