Define:– fraction,vulgar fraction,proper fraction,improper fraction.
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Answer:
Step-by-step explanation:
A simple fraction (also known as a common fraction or vulgar fraction) is a rational number written as a/b or {\displaystyle {\tfrac {a}{b}}} {\tfrac {a}{b}}, where a and b are both integers.[7] As with other fractions, the denominator (b) cannot be zero. Examples include {\displaystyle {\tfrac {1}{2}}} {\tfrac {1}{2}}, {\displaystyle -{\tfrac {8}{5}}} -{\tfrac {8}{5}}, {\displaystyle {\tfrac {-8}{5}}} {\tfrac {-8}{5}}, {\displaystyle {\tfrac {8}{-5}}} {\tfrac {8}{-5}}, and 3/17. Simple fractions can be positive or negative, proper, or improper (see below). Compound fractions, complex fractions, mixed numerals, and decimals (see below) are not simple fractions, though, unless irrational, they can be evaluated to a simple fraction.
A unit fraction is a common fraction with a numerator of 1, e.g. {\displaystyle {\tfrac {1}{7}}} {\tfrac {1}{7}}. Unit fractions can also be expressed using negative exponents, as in 2−1, which represents 1/2, and 2−2, which represents 1/(22) or 1/4.
A dyadic fraction is a common fraction in which the denominator is a power of two, e.g. {\displaystyle {\tfrac {1}{8}}={\tfrac {1}{2^{3}}}} {\displaystyle {\tfrac {1}{8}}={\tfrac {1}{2^{3}}}}.
Proper and improper fractions Edit
Common fractions can be classified as either proper or improper. When the numerator and the denominator are both positive, the fraction is called proper if the numerator is less than the denominator, and improper otherwise.[8][9] In general, a common fraction is said to be a proper fraction if the absolute value of the fraction is strictly less than one—that is, if the fraction is greater than −1 and less than 1.[10][11] It is said to be an improper fraction, or sometimes top-heavy fraction,[12] if the absolute value of the fraction is greater than or equal to 1. Examples of proper fractions are 2/3, –3/4, and 4/9; examples of improper fractions are 9/4, –4/3, and 3/3.
Answer:
fraction- a part of a whole
vulgar fraction- a fraction expressed by numerator and denominator, not decimaly.
proper fraction- a fraction where the numerator is less than denominator. It has a value of less than 1.
improper fraction- a fraction in which the denominator is greater than the numerator and has a value of 1 or more than 1.