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Last updated on March 9th, 2025

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1.07142857143 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. 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, 1.07142857143. We are going to learn how to convert a decimal to a fraction.

Professor Greenline from BrightChamps

What is 1.07142857143 as a Fraction?

1.07142857143 as a fraction

 

Answer

 

The answer for 1.07142857143 as a fraction will be 15/14.

 

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, 1.07142857143 is the number on the numerator and the base number 1 will be the denominator. Then, 1.07142857143 becomes 1.07142857143/1.

 

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10^11 (because there are 11 decimal places). 1.07142857143/1 × 100000000000/100000000000 = 107142857143/100000000000

 

Step 3: Here, 7142857143 is the GCD of 107142857143 and 100000000000. Now, to make the fraction simpler, divide the numerator and denominator by 7142857143. 107142857143/100000000000 = 15/14 Hence, 1.07142857143 is in the form of a fraction of 15/14.

 

Thus, 1.07142857143 can be written as a fraction 15/14.

Professor Greenline from BrightChamps

Important Glossaries for 1.07142857143 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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