Proper and improper fractions

A proper fraction has numerator smaller than the denominator:

\frac{a}{b}

with

a<b

. Such a fraction is less than 1. An improper fraction has numerator greater than or equal to the denominator:

a\ge b

. Such a fraction is not less than 1. Examples: -

\frac{3}{7}

— proper; -

\frac{8}{8}

— improper (equals 1); -

\frac{11}{8}

— improper (greater than 1).

a<b

, the fraction is proper and less than 1

a\ge b

, the fraction is improper and not less than 1

\frac{b}{b}=1

An improper fraction can be read as “a whole plus another part”

Classifying fractions (new widget)

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