True scores are generally discussed in the range of positive numbers. Fractions with values less than 1, that is, fractions with numerator less than denominator (all positive integers), are called true fractions, but fractional values equal to 1 are not counted (that is, false fractions). Sometimes there is a saying of "negative true score", which refers to the negative score whose absolute value is less than 1. There is no maximum real score. Note: When the numerator is 0, it is not a true fraction; For example: 0/6, although 0 is less than 6, 0/6 is not a true score. The reason is that "the unit" 1 "is evenly divided into several parts, and the number of such parts or parts is called a fraction". Examples of true fractions: 2/5 (two-fifths), the numerator must be less than the denominator to be called a true fraction.

False scores are relative to true scores and are usually discussed in the range of positive numbers. Fractions with values greater than or equal to 1, that is, fractions with numerator greater than or equal to denominator, are called false fractions. If discussed in the whole rational number range, the score with absolute value greater than or equal to 1 is a false score. False scores can usually be converted into fractions or integers. If the numerator and denominator have multiple relations, they can be converted into integers; If not, it can be converted into a score.

postscript

Using fraction is to write a fraction as integer part+true fraction part, which is a kind of fraction.

Fractional False Fraction: The denominator is unchanged, and the numerator is the product of the integer part multiplied by the denominator plus the sum of the original numerator.

False fraction with fraction: the denominator is unchanged, the integer part is the quotient of the original molecule divided by the denominator, and the numerator is the remainder of the original molecule divided by the denominator.

Scores can't become real scores. Algebra doesn't need fractions, just use fake fractions.