A fraction where the numerator is smaller than the denominator, representing a value less than one whole. Examples include 3/4, 2/7, or 5/9.
From Latin 'proprius' meaning 'one's own' or 'fitting', suggesting these fractions are in their 'proper' place as parts of a whole. This terminology developed in medieval mathematics to distinguish fractions less than one from those greater than one.
Proper fractions are the mathematical equivalent of humility - they know their place is less than one whole! They're the foundation of fractional thinking because they represent the intuitive concept of 'part of something' that children first encounter when sharing pizza or candy.
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