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# 4.14: Properties of Rational Numbers

Difficulty Level: At Grade Created by: CK-12
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### Vocabulary Language: English

common denominator

common denominator

The common denominator is the least common multiple of the denominators of multiple fractions. Each fraction can be rewritten as an equivalent fraction using the common denominator.
Denominator

Denominator

The denominator of a fraction (rational number) is the number on the bottom and indicates the total number of equal parts in the whole or the group. $\frac{5}{8}$ has denominator $8$.
Equivalent Fractions

Equivalent Fractions

Equivalent fractions are fractions that can each be simplified to the same fraction. An equivalent fraction is created by multiplying both the numerator and denominator of the original fraction by the same number.
Irrational Number

Irrational Number

An irrational number is a number that can not be expressed exactly as the quotient of two integers.
Least Common Denominator

Least Common Denominator

The least common denominator or lowest common denominator of two fractions is the smallest number that is a multiple of both of the original denominators.
Least Common Multiple

Least Common Multiple

The least common multiple of two numbers is the smallest number that is a multiple of both of the original numbers.
Lowest Common Denominator

Lowest Common Denominator

The lowest common denominator of multiple fractions is the least common multiple of all of the related denominators.
Mixed Number

Mixed Number

A mixed number is a number made up of a whole number and a fraction, such as $4\frac{3}{5}$.
Numerator

Numerator

The numerator is the number above the fraction bar in a fraction.
proper fraction

proper fraction

A proper fraction has a numerator that is a lesser absolute value than the denominator. Proper fractions always represent values between -1 and 1.
rational number

rational number

A rational number is a number that can be expressed as the quotient of two integers, with the denominator not equal to zero.
reduce

reduce

To reduce a fraction means to rewrite the fraction so that it has no common factors between numerator and denominator.
Repeating Decimal

Repeating Decimal

A repeating decimal is a decimal number that ends with a group of digits that repeat indefinitely. 1.666... and 0.9898... are examples of repeating decimals.
Terminating Decimal

Terminating Decimal

A terminating decimal is a decimal number that ends. The decimal number 0.25 is an example of a terminating decimal.

Dec 21, 2012

May 09, 2015