# proper fraction

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## proper fraction

a fraction in which the numerator has a lower absolute value than the denominator, as ½ or x/(3 + x2)
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## proper fraction

[′präp·ər ′frak·shən]
(mathematics)
A fraction a/b where the absolute value of a is less than the absolute value of b.
The quotient of two polynomials in which the degree of the numerator is less than the degree of the denominator.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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For example, a student who can recognise that 3/7 is equivalent to 6/14, which is less than one-half (7/14), will be in a strong position to both create an appropriate proper fraction and successfully challenge opponent plays.
The player in control (Player 1) decides whether players will create proper fractions greater than one-half or less than one-half for that round.
The proofs of the above theories show that the proposed method is feasible for fraction reduction; namely, the simplest proper fraction can be obtained by this method for any fraction.
"Sprint" (2 min; introduced in Lesson 10) provided strategic, speeded practice on four measurement interpretation topics: identifying whether fractions are equivalent to 1/2; comparing the value of proper fractions; comparing the value of a proper and an improper fraction; and identifying whether numbers are proper fractions, improper fractions, or mixed numbers.
Simply that proper fractions with N as denominator, where N has factors other than 2 or 5, will produce repeating sequences of length (N - 1) or less.
Locating proper fractions on number lines: Effect of length and equivalence.
Using this algorithm Fibonacci showed that it was possible to express all proper fractions
Initially the student should start working with dividing whole numbers by proper fractions to develop the notion that division does not always yield a quotient that is smaller than the dividend.
(Teachers will need to decide whether or not to specify that only proper fractions--or perhaps proper fractions plus improper fractions equivalent to 1--"count" for some of these activities.) Similar decimal versions of Digits and Dice may be created.

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