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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 UK 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 Kingdom

At BrightChamps, we know math questions are more than just sums—they’re pathways to countless opportunities! We’re dedicated to helping children throughout the United Kingdom build essential math skills, focusing today on the 6.666666667 as a Fraction with an emphasis on fraction conversions—delivered in an enjoyable, lively, and simple way. Whether your child is figuring out how fast a roller coaster speeds through Alton Towers, keeping score at a local football match, or managing their pocket money for the latest gadgets, mastering math skills gives them the confidence to meet daily challenges. Our engaging lessons make learning clear and fun. Since children across the UK learn in various ways, we tailor our teaching to each individual’s needs. From the busy streets of London to the scenic coasts of Cornwall, BrightChamps brings math to life, making it relevant and exciting throughout the UK. Let’s make fraction conversions a delightful part of every child’s math journey!
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