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Last updated on August 5, 2025

0.47619047619 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. Fraction is one of its kinds. 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, 0.47619047619. We are going to learn how to convert a decimal to a fraction.

0.47619047619 as a Fraction for US Students
Professor Greenline from BrightChamps

What is 0.47619047619 as a Fraction?

0.47619047619 as a fraction

 

Answer

 

The answer for 0.47619047619 as a fraction is 10/21.

 

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: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 0.47619047619 is the number on the numerator and the base number 1 will be the denominator. Then, 0.47619047619 becomes 0.47619047619/1.

 

Step 2: Since 0.47619047619 is a repeating decimal, we can express it as a fraction by recognizing its repeating part. Let x = 0.47619047619.

 

Step 3: Multiply x by 10^6 (since the repeating part '476190' has 6 digits) to shift the decimal: 1000000x = 476190.476190...

 

Step 4: Subtract the original x from this result: 1000000x - x = 476190.476190... - 0.476190...

 

Step 5: This simplifies to: 999999x = 476190

 

Step 6: Solve for x by dividing both sides by 999999: x = 476190/999999

 

Step 7: Simplify the fraction by finding the greatest common divisor (GCD) of 476190 and 999999, which is 47619: 476190/999999 = 10/21

 

Thus, 0.47619047619 can be written as a fraction 10/21.

Professor Greenline from BrightChamps

Important Glossaries for 0.47619047619 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 digit or group of digits repeats infinitely.
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