Section 1.6: Common Fractions
Essential Ideas

  • Fundamental Property of Fractions
    If you multiply or divide both the numerator and the denominator by the same nonzero number, the resulting fraction will be the same.

  • Procedure for Reducing Fractions
    Step 1. Find all common factors (other than 1).
    Step 2. Divide out the common factors.

  • Procedure for Multiplying Fractions
    To multiply fractions, multiply numerators and multiply denominators.

  • Procedure for Dividing Fractions
    To divide fractions, multiply by the reciprocal of the divisor. This is sometimes phrased as "invert and multiply."

  • Procedure for Changing a Terminating Decimal into a Fraction
    1. Multiply the given number without its decimal point by the decimal name of the last digit.
    2. The decimal name of the last digit means:
      One place is tenth, or 1/10.
      Two places is hundredth, or 1/100.
      Three places is thousandth, or 1/1,000.