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Math A Review

Fractions

Undefined Fraction:    A fraction  is undefined when b = 0 because 0 has no multiplicative inverse.
Multiplicative Inverse:    The product of any number and its multiplicative inverse is the identity 1.
Reducing Fractions To Lowest Terms
     1. Factor.
    2. Reduce any common factors using the cancellation process.
    3. Write reduced fraction.
Multiplying Fractions
    1. Factor each fraction.
    2. Reduce any common factors.
    3. Multiply any remaining factors.
    4. Write final fraction in reduced form.
Dividing Fractions
    1. To divide two fractions, multiply the dividend by the reciprocal of the divisor.
    2. Follow the rules of multiplication. Factor, Reduce, Multiply
Adding or Subtracting Fractions That Have the Same Denominator
    1. Add or subtract like terms in the numerator.
    2. Reduce sum or difference.
Adding or Subtracting Fractions That Have Different Denominators
    1. Find the lowest common denominator, write it down next to the problem.
    2. Get the lowest common denominator by multiplying the fraction(s) by "1".
    3. Add or subtract like terms in the numerator, reduce.
Solving Fractional Equations
    1. Add all fractions on the same side of the equation.
    2. Solve the resulting proportion. (Product of means equals Product of extremes)