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Last updated on March 6th, 2025

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1.71428571429 as a Fraction

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Numbers can be categorized into different types. A 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. Fractions represent 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, 1.71428571429, we are going to learn how to convert a decimal to a fraction.

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What is 1.71428571429 as a Fraction?

1.71428571429 as a fractionAnswer

 

The answer for 1.71428571429 as a fraction will be 12/7.

 

Explanation

 

Converting a decimal to a fraction can be straightforward by following a series of steps. You can follow the steps mentioned below to find the answer.

 

Step 1: Recognize that 1.71428571429 is a repeating decimal. The repeating part here is 0.714285, which repeats every 6 digits.

 

Step 2: Let x = 1.71428571429...

 

Step 3: Multiply both sides by 10^6 (1,000,000) to move the decimal point 6 places to the right: 1,000,000x = 1714285.714285...

 

Step 4: Subtract the original x from this equation to eliminate the repeating part: 1,000,000x - x = 1714285.714285... - 1.71428571429... 999,999x = 1714284

 

Step 5: Solve for x: x = 1714284/999999

 

Step 6: Simplify the fraction. The greatest common divisor (GCD) of 1714284 and 999999 is 142857. Divide both the numerator and the denominator by 142857: 1714284/999999 = 12/7

 

Thus, 1.71428571429 can be written as a fraction 12/7.

Professor Greenline from BrightChamps

Important Glossaries for 1.71428571429 as a Fraction

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

 

  • Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.

 

  • 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.

 

  • Greatest Common Divisor (GCD): The largest positive integer that divides each of the integers without a remainder.
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