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Last updated on May 26th, 2025

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0.666666666667 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. 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, 0.666666666667. We are going to learn how to convert a decimal to a fraction.

0.666666666667 as a Fraction for Bahraini Students
Professor Greenline from BrightChamps

What is 0.666666666667 as a Fraction?

0.666666666667 as a fraction

 

 

Answer

The answer for 0.666666666667 as a fraction is approximately 2/3.

 

Explanation

Converting a repeating decimal to a fraction can seem challenging, but it can be done using a simple process. Follow the steps below to find the answer.

 

Step 1: Identify the repeating part of the decimal. Here, 0.666666666667 has a repeating decimal of 6.

 

Step 2: To convert a repeating decimal to a fraction, denote the repeating decimal as x. So, let x = 0.666666666667.

 

Step 3: Multiply both sides by 10 to move the decimal one place right: 10x = 6.666666666667

 

Step 4: Subtract the original x from this equation: 10x - x = 6.666666666667 - 0.666666666667 9x = 6

 

Step 5: Solve for x by dividing both sides by 9: x = 6/9

 

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

 

Thus, 0.666666666667 can be approximated as the fraction 2/3.

Professor Greenline from BrightChamps

Important Glossaries for 0.666666666667 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 in which a sequence 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.
Professor Greenline from BrightChamps

About BrightChamps in Bahrain

At BrightChamps, we understand math questions are more than just figures—they’re stepping stones to endless opportunities! Our mission is to help kids all across Bahrain develop crucial math skills, focusing today on the 0.666666666667 as a Fraction with special attention on fraction conversions—in a lively, enjoyable, and easy-to-understand manner. Whether your child is figuring out how fast a roller coaster moves through Bahrain’s Wahooo! Waterpark, tracking scores at a local football match, or managing their allowance for the latest gadgets, mastering math questions gives them the confidence for everyday challenges. Our interactive lessons keep learning both clear and fun. Since children in Bahrain learn differently, we tailor our approach to suit each child’s style. From Manama’s lively city life to its peaceful beaches, BrightChamps brings math to life, making it relatable and exciting throughout Bahrain. Let’s make fraction conversions a fun part of every child’s math journey!
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