improper fraction

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Related to improper fractions: mixed numbers

improper fraction

a fraction in which the numerator has a greater absolute value or degree than the denominator, as 7/6 or (x2 + 3)/(x + 1)

Improper Fraction

 

an arithmetic fraction whose numerator is greater than or equal to the denominator—for example, 5/3, 4/2, and 7/7. An improper fraction can be represented, by separating its integral part, in the form of a mixed number—that is, a number having an integral part and a fractional part, for example,

Conversely, every mixed number can be written in the form of an improper fraction, for example,

improper fraction

[im′präp·ər ′frak·shən]
(mathematics)
In arithmetic, the quotient of two integers in which the numerator is greater than or equal to the denominator.
In algebra, the quotient of two polynomials in which the degree of the numerator is greater than or equal to that of the denominator.
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References in periodicals archive ?
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.
After the conceptual lesson, Rachel was again interviewed, and when asked to convert a mixed number to an improper fraction, she incorrectly applied a procedure before she corrected herself by drawing a picture.
The other 125 students applied the shortcut algorithm for renaming a mixed number as an improper fraction.
The first error type occurred when students applied a rote algorithm to convert the improper fraction to a mixed number.
The use of the number line and appropriate language enables students to make sense of improper fractions.
Now, this works reasonably well for fractions between 0 and 1, but not well for improper fractions.
Understanding improper fractions--the game provides an excellent introduction to improper fractions, in a context where understanding is motivated by the need to use them to advantage in the game context.
At the same time, the written form of improper fractions is continually modelled for the students along with the associated mixed number.
To do this, several mixed numerals and associated improper fractions are displayed and the students engage in observing and analysing the patterns that they can see.
It has functions that will present fractions in a "stacked format", simplify fractions, convert common fractions to decimal fractions and decimal fractions to common fractions, perform fraction calculations for addition, subtraction, multiplication and division, work with mixed fractions and improper fractions, and "round" numbers to a range of decimal places.
She used the calculator to connect fractions and decimals by computing the exact answer to an improper fraction.