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Last updated on March 12th, 2025

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1.28571428571 as a Fraction

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 1.28571428571, we are going to learn how to convert a decimal to a fraction.

Professor Greenline from BrightChamps

What is 1.28571428571 as a Fraction?

1.28571428571 as a fraction

 

Answer

 

The answer for 1.28571428571 as a fraction will be 9/7.

 

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: Firstly, observe that 1.28571428571 is a repeating decimal. The repeating part is 285714, which is 6 digits long.

 

Step 2: Let x = 1.28571428571. Then, multiply both sides by 10^6 (since the repeating part is 6 digits long): 10^6 * x = 1285714.28571428571

 

Step 3: Subtract the original x from the equation obtained in Step 2: 10^6 * x - x = 1285714.28571428571 - 1.28571428571 999999 * x = 1285713

 

Step 4: Solve for x: x = 1285713 / 999999

 

Step 5: Simplify the fraction by finding the GCD of 1285713 and 999999, which is 111111. Divide both the numerator and the denominator by 111111: x = 9 / 7

 

Thus, 1.28571428571 can be written as a fraction 9/7.

Professor Greenline from BrightChamps

Important Glossaries for 1.28571428571 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.

 

  • Repeating Decimal: A decimal that has one or more repeating digits or a repeating block of digits.

 

  • 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.
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