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Last updated on August 5, 2025

0.57142857142 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one such type. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), for example, 0.57142857142. We are going to learn how to convert a decimal to a fraction.

0.57142857142 as a Fraction for Thai Students
Professor Greenline from BrightChamps

What is 0.57142857142 as a Fraction?

0.57142857142 as a fractionAnswer

 

The answer for 0.57142857142 as a fraction is 4/7.

 

Explanation

 

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

 

Step 1: Recognize that 0.57142857142 is a repeating decimal with the repeating part 571428. You can express the decimal as 0.571428571428... by noting the repeating sequence.

 

Step 2: Set x = 0.571428571428...

 

Step 3: Multiply both sides by 10^6 (as the sequence 571428 has 6 digits): 1000000x = 571428.571428...

 

Step 4: Subtract the original x equation from this new equation to eliminate the repeating part: 1000000x - x = 571428.571428... - 0.571428571428... 999999x = 571428

 

Step 5: Solve for x: x = 571428/999999

 

Step 6: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 142857: 571428/999999 = 4/7

 

Thus, 0.57142857142 can be written as a fraction 4/7.

Professor Greenline from BrightChamps

Important Glossaries for 0.57142857142 as a Fraction

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
     
  • Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
     
  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
     
  • Denominator: The bottom part of a fraction, showing how many parts make up a whole.
     
  • Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.
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