common denominator

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common denominator

A student finds the common denominator for two fractions on a worksheet.

Definition
  1. Noun:
    • A shared characteristic or attribute: An attribute, quality, or interest that is common to all members of a group or category.
    • A shared integer in mathematics: An integer that is a common multiple of the denominators of two or more fractions, allowing them to be added or compared.
Examples of Usage
  • Noun (Shared Characteristic):
    • Finding a common denominator among the diverse team members was essential for collaboration.
    • The common denominator in all his failed relationships was a lack of communication.
  • Noun (Mathematics):
    • To add 1/4 and 1/6, you must first find the common denominator, which is 12.
    • The least common denominator of 3 and 5 is 15.
Advanced Usage
  • "to find the common denominator": To identify the most basic shared factor or characteristic among different things or people.
    • The detective tried to find the common denominator linking the three unrelated cases.
  • "lowest common denominator": Often used figuratively to describe something designed to appeal to the broadest, least sophisticated audience.
    • Critics accused the network of lowering its programming to the lowest common denominator.
Variants and Related Words
  • Lowest Common Denominator (LCD) (n):
    • In mathematics: The smallest common multiple of the denominators.
      • The LCD of 2/3 and 3/4 is 12.
    • In general use: The simplest or most basic level of shared taste or understanding.
      • The film's humor was aimed at the lowest common denominator.
Synonyms
  • Common factor: A number or quality that divides two or more numbers or is shared by multiple things.
  • Common ground: A basis of mutual interest or agreement.
  • Common thread: A recurring theme or characteristic shared by different elements.
Related Phrases
  • Common denominator approach: A strategy that focuses on what is shared by all parties.
    • The mediator used a common denominator approach to find a starting point for negotiations.
Related Idioms
  • To reduce something to the lowest common denominator: To simplify something so much that it loses its quality or sophistication in order to make it widely acceptable.
    • In trying to please everyone, the policy was reduced to the lowest common denominator and satisfied no one.
common denominator

A student finds the common denominator for two fractions on a worksheet.

Noun
  1. an attribute that is common to all members of a category
  2. an integer that is a common multiple of the denominators of two or more fractions