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Illustrate how to convert a mixed loop decimals into a fraction! thanks

Illustrate how to convert a mixed loop decimals into a fraction! thanks

2024-09-20 17:17
1 answer

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.

How to convert pure mixed repeating decimals into scores

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.

1 answer
2024-09-20 17:38

The mixed loop decimals in mathematics were converted into scores, and there was a question that was very complicated?

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.

1 answer
2024-09-20 17:22

Elementary Mathematical Olympiad: How to Turn Recurring Decimals into Fraction

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.

1 answer
2024-09-20 17:19

How to convert a novel on the computer into audio reading. thanks

To convert a novel on the computer into audio reading, you can refer to the following methods: 1 Use online text to audio tools: There are many online tools that can convert text novels into audio reading, such as Google Translate and Google Translate. These tools support multiple languages and text format, and can convert text into audio and add it to playlists. 2. Use audio editing software: If you want to edit the audio in a more detailed manner, you can use audio editing software such as Adobe Audition or Audacity. You can adjust the volume, tone, and sound effects during the editing process to achieve better audio effects. 3. Use online audio production tools: You can also use online audio production tools such as the Online Audio Editor to convert text into audio and create a standalone audio file. No matter which method you use, the converted audio needs to be saved in an audio format such as MP3 or WLV for playing on a mobile device or player.

1 answer
2025-03-22 05:56

Funny fraction stories: How can fraction stories be used in teaching kids?

Fraction stories can make the concept more relatable. For example, if you tell a story about sharing a cake among friends. Say there are 4 friends and a cake is divided into 8 slices. Each friend gets 2 slices, which is 2/8 or 1/4 of the cake. Kids can better understand the idea of fractions as parts of a whole through such stories.

3 answers
2024-12-10 03:41

How to write decimals accurately and effectively in fiction?

Well, when writing decimals in fiction, make sure they're clear and not confusing for the readers. Use them sparingly and only when necessary to add precision to your story.

3 answers
2024-09-27 12:07

How to write an engaging fraction story?

To write a fraction story, first, decide on a simple fraction. Then, create characters or situations that help explain it. For instance, if it's 1/2, you could have two friends sharing a pizza evenly. Add some twists and turns to make it interesting.

1 answer
2024-10-17 23:15

End of Fantasy Decimals Ranking

The ending fantasy rankings may include the following novels: 1 Battle Through the Heavens 2 Martial Force Universe 3 Douluo Continent 4 The Great Dominator [5]" Full-time Expert " [Lord Snow Eagle] 7 Sword Comes 8 Battle Frenzy Chapter 9: Eternal Thought Cover the Sky These novels were all completed fantasy novels and had a certain degree of influence in online novels.

1 answer
2024-09-17 12:03

Funny fraction stories: Share some interesting fraction stories.

Once, there was a pizza divided into 8 slices. Tom ate 3 slices. So he ate 3/8 of the pizza. His sister was so hungry that she ate the remaining 5 slices, which is 5/8 of the pizza. It was a simple yet funny fraction story about sharing food.

3 answers
2024-12-09 21:08
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