Algebra II Recipe: Addition, Subtraction, and Complex Fractions |
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A. Adding and Subtracting with Like Denominators
- Add or subtract the numerators.
- Put the result over the common denominator.
- Simplify the fraction if possible.
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B. Adding and Subtracting with Unlike Denominators
- Factor each denominator.
- Multiply the numerator and denominator of each fraction by the factor or factors that its denominator is missing.
- Write the result of all the multiplying. (Leave the denominator in factored form.)
- Add or subtract the numerators.
- Put the result over the common denominator.
- Simplify the fraction if possible.
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C. Simplifying a Complex Fraction
- Write the numerator and denominator as single fractions by adding or subtracting.
- Rewrite the problem changing the main fraction bar to a division symbol.
- Change the division problem to multiplying by the reciprocal.
- Simplify completely.
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G Redden
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