Definition

1. Noun:
   • A proper fraction is a fraction in which the numerator (the top number) is less than the denominator (the bottom number). Its value is always greater than 0 and less than 1.

Usage

• The term proper fraction is used in mathematics to classify and describe a specific type of fraction. It is the opposite of an improper fraction.
• It is a countable noun (e.g., "two proper fractions").

Examples

• Noun:
  • 1/2, 3/4, and 7/8 are all examples of proper fractions.
  • When you simplify the expression, the result is a proper fraction.
  • To convert the mixed number to an improper fraction, first ensure the fractional part is a proper fraction.

Advanced Usage

• "In lowest terms" or "simplified": A proper fraction is often discussed when it is in its simplest form, meaning the numerator and denominator have no common factors other than 1.
  • The answer should be expressed as a proper fraction in simplest terms.

Variants and Related Words

• Improper Fraction (n): A fraction where the numerator is greater than or equal to the denominator (e.g., 5/4, 7/7).
• Mixed Number (n): A number consisting of an integer and a proper fraction (e.g., 1 1/2).
• Fraction (n): A general term for a numerical quantity that is not a whole number, expressed as one integer divided by another.

Synonyms

• Common fraction (when specifically referring to a fraction less than one).
• Simple fraction (in some contexts, though this can also refer to any fraction with integer numerator and denominator).

Noun

1. a fraction with a numerator smaller than the denominator