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Last updated on May 26th, 2025

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6.667 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one such type. 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, 1/2; numbers in decimal are expressed with a decimal point (.), for example, 6.667. We are going to learn how to convert a decimal to a fraction.

6.667 as a Fraction for Singaporean Students
Professor Greenline from BrightChamps

What is 6.667 as a Fraction?

6.667 as a fractionAnswer

 

The answer for 6.667 as a fraction is 20/3.

 

Explanation

 

 

Converting a decimal to a fraction is a task that can be done easily by following a few steps. You can follow the steps mentioned below to find the answer.

 

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 6.667 is the number on the numerator and 1 will be the denominator. Then, 6.667 becomes 6.667/1.

 

Step 2: To remove the decimal from the fraction, you need to multiply both the numerator and denominator by 1000 (because there are three decimal places). 6.667/1 × 1000/1000 = 6667/1000

 

Step 3: Determine the greatest common divisor (GCD) of 6667 and 1000, which is 1 in this case. Since 6667 and 1000 have no common divisors other than 1, the fraction is already in its simplest form.

 

Step 4: Since 6667/1000 is a non-reduced form, divide both the numerator and denominator by their GCD if possible. Here, 6667/1000 can be further simplified by recognizing the repeating decimal form, which simplifies to 20/3.

 

Hence, 6.667 can be written as a fraction 20/3.

Professor Greenline from BrightChamps

Important Glossaries for 6.667 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.
     
  • 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.
     
  • Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.
Professor Greenline from BrightChamps

About BrightChamps in Singapore

At BrightChamps, we know math questions are more than just digits—they’re the keys to countless opportunities! Our mission is to help children across Singapore develop important math skills, focusing today on the 6.667 as a Fraction with a special focus on fraction conversions—in an engaging, fun, and easy-to-understand manner. Whether your child is figuring out how fast a roller coaster speeds through Universal Studios Singapore, tracking scores at a local football match, or managing their allowance for the latest gadgets, mastering math questions builds confidence for daily life. Our interactive lessons make learning both simple and fun. Since children in Singapore learn in different ways, we adapt our teaching to each child’s unique style. From the city’s vibrant streets to the peaceful gardens, BrightChamps brings math to life, making it relatable and exciting throughout Singapore. Let’s make fraction conversions a delightful part of every child’s math journey!
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