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Last updated on May 26th, 2025

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6.666666667 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A 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. A 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, 6.666666667. We are going to learn how to convert a decimal to a fraction.

6.666666667 as a Fraction for US Students
Professor Greenline from BrightChamps

What is 6.666666667 as a Fraction?

6.666666667 as a fraction

 

Answer

 

The answer for 6.666666667 as a fraction is 20/3.

 

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: Identify the repeating part of the decimal. Here, 6.666666667 can be seen as 6 + 0.666666667.

 

Step 2: Assume x = 0.666666667. Since the repeating part is 6, multiply by 10 to shift the decimal: 10x = 6.66666667.

 

Step 3: Subtract the original x from this result: 10x - x = 6.66666667 - 0.66666667, 9x = 6. Therefore, x = 6/9 = 2/3.

 

Step 4: Add the whole number part back to the fraction: 6 + 2/3 = 18/3 + 2/3 = 20/3.

 

Thus, 6.666666667 can be written as the fraction 20/3.

Professor Greenline from BrightChamps

Important Glossaries for 6.666666667 as a Fraction

  • Fraction: A numerical quantity that represents a part of a whole.

 

  • Decimal: A number expressed in the base ten and includes a decimal point to separate the whole part from the fractional part.

 

  • Repeating Decimal: A decimal with one or more repeating digits after the decimal point.

 

  • 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 United States

At BrightChamps, we understand math questions are more than just calculations—they’re gateways to endless possibilities! Our goal is to support children across the United States in mastering key math skills, focusing today on the 6.666666667 as a Fraction with a special emphasis on understanding fraction conversions—in a fun, engaging, and easy-to-grasp way. Whether your child is calculating how quickly a roller coaster zooms through Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for the latest gadgets, strong math skills build the confidence they need to tackle everyday challenges. Our interactive lessons keep learning enjoyable and straightforward. Since kids across the USA learn differently, we customize our approach to suit each child’s unique style. From the bustling streets of New York City to the sunny coastlines of California, BrightChamps brings math to life, making it relevant and exciting throughout America. Let’s make fraction conversions a fun part of every child’s math adventure!
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