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Last updated on March 24th, 2025

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6.66666 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, 6.66666. We are going to learn how to convert a repeating decimal to a fraction.

6.66666 as a Fraction for Saudi Students
Professor Greenline from BrightChamps

What is 6.66666 as a Fraction?

6.66666 as a fraction

 

Answer

 

The answer for 6.66666 as a fraction will be 20/3.

 

Explanation

 

Converting a repeating decimal to a fraction can be done by following these steps:

 

Step 1: Let x = 6.66666...

 

Step 2: Multiply both sides by 10 to eliminate the repeating part to the right of the decimal. 10x = 66.66666...

 

Step 3: Subtract the original equation (Step 1) from the equation in Step 2. 10x - x = 66.66666... - 6.66666... 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. Divide both the numerator and the denominator by 3. 60/9 = 20/3

 

Thus, 6.66666 can be written as a fraction 20/3.

Professor Greenline from BrightChamps

Important Glossaries for 6.66666 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 6.66666 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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