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questions :True and false fractions
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[Visitor (111.8.*.*)]answers [Chinese ]Time :2020-03-24
First, let's describe the definition of fraction. Fraction is the ratio of two rational integers. Let it be written as: q / p There is obviously p ≠ 0 here.
In order to simplify the description, the true and false scores are generally discussed in the range of positive numbers.
Of course, sometimes the concepts of negative true fractions and negative false fractions are also proposed in order to expand the number system.

For the fraction q / p, this is assumed to be the simplest fraction and both the numerator and denominator are positive numbers (that is, they have no common divisor):
a. When p> q, there is obviously an absolute value of the score <1; at this time, the score is a true score. Such as 1/2, 2/3, etc.
b. When p <q, there is obviously an absolute value of the score> 1; at this time, the score is a false score. Such as 3/2, 5/4 and so on.
c. False fractions are sometimes written as fractions, as integers plus true fractions, as needed.

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