How to convert the infinite loop decimals into a fraction? And summarize the general law of converting infinite loop decimals into scores

Mixed repeating decimals referred to decimals with a repeating structure. For example, 1/314159 could be written as 1/3(where 3 is a loop) or 1/314159(where 14159 is a loop). If you wanted to convert the mixed loop decimals into a fraction, you needed to find the loop section where the decimal loop part was located and then divide the loop section into several parts and express it as a fraction. For example, 1/314159 could be written as a fraction: 1/3 = 3/3 = 1 1/314159 = 3/314159 = 114159 Here, the fraction 3 and the 14159 were divided into three parts, which were represented by the fraction 1 and 114159 respectively. Continuing example: 1/520303 can be written as a fraction: 1/5 = 2/5 = 040203 1/520303 = 2/520303 = 040203 Here, the fraction 5 and the 20303 were divided into five parts, which were represented by the scores 040203 and 20303 respectively. By analogy, one could find the loop section where the loop part was located and then divide it into several parts and express it with scores.

Recurring decimals refer to decimals with a repeating fraction, such as 06666 and 314159265358979323846. If you want to convert such decimals into scores, you can follow the following steps: 1 determines the position of the loop section, that is, the difference between the first number and the last number of the decimal part is usually the number sequence of the decimal part when the two numbers are equal. For example, 06666's repeating period is between the 6th and 7th digits of the decimal part, which means 6-7=1, so it can be expressed as 1/2. 2. The number where the loop section is located and the numbers after it are all omitted, and only the decimals are retained to obtain the fraction form. For example, 06666 could be expressed as 1/2(6/6=2/2=1+1/2). 3. If there are multiple cycles after a certain number in the decimal part, you need to first determine the last cycle and then follow the above steps. For example, the loop section of 314159265358979323846 is between the 26th and 27th digits of the decimal part, which is 26-27=-1. Therefore, you need to first determine whether the last loop section is 1 or-1 and then simplify it accordingly. The method of converting a repeating decimal into a fraction needed to determine the last loop section according to the position of the loop section and then simplify it according to the above steps.

To convert the pure mixed repeating decimals into a fraction, one needed to transform the decimals so that both the decimals and the repeating decimals could be expressed as a fraction. The specific steps were as follows: 1 determines the length of the repeating fraction. The length of the loop determines whether a fraction can be expressed as a fraction. If the length of the repeating fraction was limited, it could be directly converted into a fraction. If the length of the repeating fraction was infinite, some transformations would be needed. 2. Divide the decimals into basic scores and repeating scores. The basic scores referred to the scores without loop sections, such as 1/2, 3/4, etc. A repeating fraction refers to a fraction that contains a repeating fraction in the decimal part, such as 2/3, 8/10, etc. 3. Turn the cycle points into points. The loop section can be represented by the product of the numerator and the decimal, and then the loop section can be replaced by the part of the base fraction so that the decimal of the fraction is equal to the length of the loop section of the fraction. For example, converting the pure mixed repeating decimals 0666666667 into a fraction can be expressed as: 06666666667 × 2/3 = 13333333334 Where 1333333334 represents the loop score, 2/3 represents the base score. Since the loop segment length is 2, the loop segment needs to be replaced with 1. 06666666667 × 1/2 = 0333333333 This way, the decimals 0666666667 would be converted into a score of 033333334.

To convert the mixed loop decimals into a fraction, one needed to split the decimals into several terms, and then calculate them with the numerator and decimal of the fraction to get the final fraction. This problem might feel complicated, but it could actually be solved by reducing the decimal part of the mixed decimals and converting it into a fraction. The specific steps were as follows: 1 Write the decimal part in the form of a cycle, that is, a number is divided into several equal parts. 2. Find the number before and after the repeating section in the decimal part. 3. Divide the number of the loop section into several terms and calculate them with the numerator and decimal of the fraction. 4. Reduce the score to a form that matches the definition of a score. It should be noted that when reducing the fraction, you need to pay attention to whether the quotient has approached infinity. If the quotient is too large, the simplified fraction may lose its meaning. In addition, when reducing the score, it was also necessary to consider whether the position of the decimal point was correct. If the position of the decimal point was not correct, there might be errors in the simplified score.

Here are some recommended infinite loop space novels: 1. "Endless Loop": This is a novel about urban life. It tells the story of the protagonist's rebirth of the past, imagination of the future, and dream of reality. 2. "Beginnings": This is an infinite flow + confined space + puzzle-solving-style novel. The story took place on a bus that would explode. The protagonist was trapped inside and experienced death cycles again and again, searching for the truth with his teammates. 3. "Trapped in an Infinite Loop on New Year's Eve": This was a sci-fi space-time travel novel, which told the story of the female protagonist, Jiang Yu, who was trapped in a time loop. 4. "Scream Loop (Infinite Flow)": This is a novel that described the protagonist's survival in a loop in the world of thrills. The protagonist must do everything he can to survive before the progress of the play bar reaches 100%. I hope the above recommendations can satisfy your needs for infinite loop space novels.

An infinite loop usually referred to an event or process that could not be stopped or ended. In the novel universe, infinite cycles often appeared in fantasy or science fiction stories such as infinite horror and the Marvel Universe. In some novels, the infinite loop was often a powerful force that could control or influence the entire world. There were also some infinite loop plans or strategies designed to achieve a certain goal, such as the Infinite Plan. Infinite loop was a very interesting concept that was widely used in novels.

An infinite loop story usually involves a plot where the beginning and end of an event or story are the same and can be repeated indefinitely. The following are some of the works of the common infinite loop stories: 1. Liu Cixin, author of the " Infinite Horror " series. The series of novels involved the concept of a "circular universe" in which all stories took place in the same universe and could be repeated indefinitely. 2. The author of the " Endless Extinction " series, Yanyu Jiangnan. The series of novels involved a concept called "infinite flow" in which all the stories took place in the same virtual world and could appear in a continuous loop. 3. The author of the " Infinite Return to the Past " series, Third Young Master Tang. The series of novels involved a concept called "time loop", in which the protagonist could change history by going back in time and lead to the emergence of an infinite loop. 4. The author of the Fate Stone's Gate series, Okabe Rentaro. The series of novels involved a concept called a "time machine" in which the protagonist traveled to the past through a time machine to change history, resulting in the appearance of an infinite loop. 5. The author of the Death Cycle series, Blood Devil. This series of novels involved a concept called the "death cycle" in which all the stories involved the death of the protagonist and repeated after death. These works are common examples of endless loop stories, with fascinating plots and deep philosophical thinking.

The following are some works of infinite loop stories: 1." Infinite Horror " series author, Heavenly Silkworm Potato. The series tells the story of the war and conspiracy between humans and extraterrestrial life. It keeps repeating in an endless loop. 2. The author of the " Wheel of Fortune " series, Mo Jin Xiaowei. The series tells the story of a family member's mysterious wheel of fortune, full of fantasy and mystery. 3. Author of the " Infinite Flow " series, I Eat Tomatoes. The series tells the story of the war and conspiracy between humans and extraterrestrial life. It keeps repeating in an endless loop. 4. The author of the " Lord Snow Eagle " series is an outsider. The series told the story of a young man's adventures in another world. The characters in the story kept appearing in a loop, showing a feeling of infinite loop. 5. The Wandering Toad, author of the 'Library of Heaven's Path'. The series tells the story of a mysterious library. The characters in the story appear in an endless loop, showing a feeling of infinite loop. These works had the characteristics of an infinite loop, allowing readers to feel a wonderful reading experience.

The following are some works of infinite loop stories: 1. Liu Cixin, author of the " Infinite Horror " series. 2. The author of Grave Robber's Chronicles is the best singer in the world. 3. Chen Dong, author of the " Infinite Flow " series. 4. The author of the Sin City series is not a treasure. 5. The author of the Thriller Paradise series dreamed of entering the God's Machine. 6. The author of the " Battle Through the Heavens " 7. Author of " The Peak of Martial Refinement " series, Momo. 8." Full-time Expert " series author, Butterfly Blue. The author of the 'Library of Heaven's Path' series, the Third Young Master of the Tang Family. 10 "Douluo Continent" series author, Third Young Master Tang. These works all had a common characteristic, which was that the plots kept appearing in the same world or in the same time period, with similar fates and endings.