1Cademy - Improper Fraction

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Fraction

Definition

Improper Fraction

An improper fraction is a fraction in which the numerator is greater than or equal to the denominator, so the fraction's absolute value is at least $1$ . Examples include $\frac{7}{4}$ , $\frac{9}{2}$ , and $\frac{8}{3}$ , since each has a numerator that exceeds its denominator. Converting an improper fraction to a mixed number — a whole-number part combined with a proper-fraction part — often makes it easier to interpret and to locate on a number line. For instance, $\frac{7}{4} = 1\frac{3}{4}$ , which shows the value lies between $1$ and $2$ ; $\frac{8}{3} = 2\frac{2}{3}$ , placing it between $2$ and $3$ ; and $-\frac{9}{2} = -4\frac{1}{2}$ , placing it between $-5$ and $-4$ .