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Last updated on May 26th, 2025

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6.6666666667 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. Fractions represent a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 2/3, the numbers in decimal are expressed with a decimal point (.), For example, 6.6666666667, we are going to learn how to convert a repeating decimal to a fraction.

6.6666666667 as a Fraction for Saudi Students
Professor Greenline from BrightChamps

What is 6.6666666667 as a Fraction?

6.6666666667 as a fraction

Answer

 

The answer for 6.6666666667 as a fraction will be approximately 20/3.

 

Explanation

 

Converting a repeating decimal to a fraction involves a systematic approach. You can follow the steps mentioned below to find the answer.

 

Step 1: Let x = 6.6666666667. Since 6.6666666667 is a repeating decimal (6.6 recurring), you can express it as x = 6.666...

 

Step 2: Multiply both sides of the equation by 10 (since there is one repeating decimal place) to eliminate the repeating part and form an equation: 10x = 66.666...

 

Step 3: Now subtract the original equation (x = 6.666...) from this equation to remove the repeating part: 10x - x = 66.666... - 6.666... 9x = 60

 

Step 4: Solve for x by dividing both sides by 9: x = 60/9

 

Step 5: Simplify the fraction by finding the GCD of 60 and 9, which is 3: 60/9 = 20/3

 

Thus, 6.6666666667 can be written approximately as a fraction 20/3.

Professor Greenline from BrightChamps

Important Glossaries for 6.6666666667 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 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.
Professor Greenline from BrightChamps

About BrightChamps in Saudi Arabia

At BrightChamps, we understand math questions are more than just figures—they’re opportunities waiting to be unlocked! We’re committed to helping children all across Saudi Arabia build vital math skills, focusing today on the 6.6666666667 as a Fraction with a special focus on fraction conversions—in a lively, enjoyable, and easy-to-follow way. Whether your child is figuring out how fast a roller coaster moves through Riyadh’s Al Hokair Land, keeping score at a local football match, or managing their allowance for the latest gadgets, mastering math questions helps build confidence for everyday life. Our interactive lessons keep learning both straightforward and fun. Since children in Saudi Arabia learn differently, we tailor our methods to each child’s style. From the vibrant streets of Riyadh to the historic sites of Jeddah, BrightChamps brings math to life, making it relevant and exciting throughout Saudi Arabia. Let’s make fraction conversions an enjoyable part of every child’s math journey!
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