In mathematics,Decimals are created by dividing two numbers that are not divisible, manifested in the phenomenon of life, that isThe whole thing is unevenly divided
Similarly, in mathematics,Fraction is a simplified expression of the division equation, the number above the dash in the fraction is the numerator, and the number below the dash in the fraction is the divisor
As can be seen from the above, both decimal and fraction are produced by the division of numbers, so the two have a deductive path to express each other.
Before you start deducing, you have to introduce a concept:The result of any number divided by 1 is the number itself
Suppose there is a decimal x to be deduced into a fractional expression, then the steps of the deductive process are as follows:
Rewrite the decimal x to x 1;
According to the rule of simplification of the division equation into fractions, x1 is obtained from x1;
Depending on the processing strategy, there are two different processes for the next steps:
Continuously keep x 1 up and down at the same number until the molecule no longer containsDecimal, complete the deduction of the decimal x to the fractional expression.
According to the number of digits n after the decimal point of decimal x, rewrite x 1 to (x 10 n) (1 10 n), and then use the numerator and denominatorThe greatest common factor is reduced to a fractionUntil the numerator and denominator no longer have a common factor, the deductive form from decimal x to fraction expression is complete.
The above is the deductive path of converting general decimal into fractional form, for some special decimals, such as 05=1/2，0.25=1 4 It is better to memorize it, so as to save the time spent on deduction and improve the calculation speed.
For a class of problems such as whether two or more types of information with different forms of expression can be expressed to each other, the solution is usually as follows:
Clarify the respective generation of information in different forms of expression**;
Determine whether the information in different forms of expression is the same or has an intersection;
For information in different forms of expression of the same source, or information of different forms of expression with intersection in the direction of the source, so that one of them is pushed backwards in the direction of the source until the common point is reached;
The kind of information that is pushed back to the common point is deduced along the expression form of the target information until the transformation of the expression form is completed.