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Last updated on August 5, 2025

0.66666667 as a Fraction

Professor Greenline Explaining Math Concepts

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, 0.66666667, we are going to learn how to convert a decimal to a fraction.

0.66666667 as a Fraction for US Students
Professor Greenline from BrightChamps

What is 0.66666667 as a Fraction?

0.66666667 as a fraction

 

 

Answer

The answer for 0.66666667 as a fraction will be 2/3.

 

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 fraction for easy calculation. Here, 0.66666667 is the number on the numerator and the base number 1 will be the denominator. Then, 0.66666667 becomes 0.66666667/1.

 

Step 2: To remove the repeating decimal from a fraction, recognize that 0.66666667 is a repeating decimal with the digit 6 repeating infinitely. We express it as 0.6̅.

 

Step 3: For a repeating decimal like 0.6̅, we can set x = 0.6̅. Then, 10x = 6.6̅. Subtracting these equations gives 9x = 6, so x = 6/9.

 

Step 4: Simplify the fraction 6/9 by dividing both the numerator and the denominator by their GCD, which is 3. 6/9 = 2/3

 

Thus, 0.66666667 can be written as a fraction 2/3.

Professor Greenline from BrightChamps

Important Glossaries for 0.66666667 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 fraction in which a figure or group of figures is repeated indefinitely.

 

  • 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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