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Simplifying Fractions definitions

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  • Fraction
    Represents a part of a whole, shown with a numerator, denominator, and fraction bar, and expresses division.
  • Numerator
    Indicates the number of parts being considered out of the total divided by the denominator.
  • Denominator
    Shows the total number of equal parts the whole is divided into; must not be zero.
  • Fraction Bar
    Separates the numerator and denominator, visually representing the division operation.
  • Equivalent Fraction
    Has the same value as another fraction, created by multiplying both numerator and denominator by the same constant.
  • Proper Fraction
    Has a numerator less than the denominator, always representing a value less than one.
  • Improper Fraction
    Has a numerator greater than or equal to the denominator, representing a value at least one.
  • Mixed Number
    Combines a whole number with a proper fraction, visually shown as shaded whole shapes plus fractional parts.
  • Lowest Terms
    A fraction form where numerator and denominator share no common factors, achieved by dividing out the greatest common factor.
  • Greatest Common Factor
    The largest number that divides both numerator and denominator, used to simplify fractions.
  • Prime Factor
    A factor that is a prime number, useful for breaking down numbers to simplify fractions.
  • Common Factor
    A number that divides both numerator and denominator, allowing for simplification.
  • Division
    The operation represented by a fraction, showing how the numerator is split by the denominator.
  • Visual Representation
    Uses shapes divided and shaded to illustrate the value and type of a fraction.
  • Constant
    A fixed number used to multiply both numerator and denominator to create equivalent fractions.