4.9.1: Key Terms

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Key Terms

complex fraction: A complex fraction is a fraction in which the numerator or the denominator contains a fraction.

equivalent fractions: Equivalent fractions are two or more fractions that have the same value.

fraction: A fraction is written $\frac{a}{b}$ . In a fraction, $a$ is the numerator and $b$ is the denominator. A fraction represents parts of a whole. The denominator $b$ is the number of equal parts the whole has been divided into, and the numerator $a$ indicates how many parts are included.

least common denominator (LCD): The least common denominator (LCD) of two fractions is the least common multiple (LCM) of their denominators.

mixed number: A mixed number consists of a whole number $a$ and a fraction $\frac{b}{c}$ where $c \neq 0$ . It is written as $a \frac{b}{c}$ , where $c \neq 0$ .

proper and improper fractions: The fraction $\frac{a}{b}$ is proper if $a < b$ and improper if $a \geq b$ .

reciprocal: The reciprocal of the fraction $\frac{a}{b}$ is $\frac{b}{a}$ where $a \neq 0$ and $b \neq 0$ .

simplified fraction: A fraction is considered simplified if there are no common factors in the numerator and denominator.

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