BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon117 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

10.66666666667 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A 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, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 10.66666666667, we are going to learn how to convert a decimal to a fraction.

10.66666666667 as a Fraction for Omani Students
Professor Greenline from BrightChamps

What is 10.66666666667 as a Fraction?

10.66666666667 as a fraction

Answer

 

The answer for 10.66666666667 as a fraction will be 32/3.

 

Explanation

 

Converting a recurring decimal to a fraction can be a straightforward task. You can follow the steps mentioned below to find the answer.

 

Step 1: Let x = 10.66666666667. Notice that the decimal part 0.66666666667 is repeating.

 

Step 2: Multiply x by 10 to shift the decimal point: 10x = 106.66666666667.

 

Step 3: Subtract the original x from this equation to eliminate the repeating part: 10x - x = 106.66666666667 - 10.66666666667 9x = 96

 

Step 4: Solve for x by dividing both sides by 9: x = 96/9

 

Step 5: Simplify the fraction by finding the GCD of 96 and 9, which is 3. Divide the numerator and denominator by their GCD: 96/9 = 32/3

 

Thus, 10.66666666667 can be written as a fraction 32/3.

Professor Greenline from BrightChamps

Important Glossaries for 10.66666666667 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.
     
  • Recurring Decimal: A decimal in which one or more digits repeat 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 Oman

At BrightChamps, we understand math questions are more than just numbers—they’re pathways to endless opportunities! Our mission is to help kids all across Oman develop vital math skills, focusing today on the 10.66666666667 as a Fraction with a special focus on fraction conversions—in a fun, lively, and easy-to-grasp way. Whether your child is figuring out how fast a roller coaster moves through Oman’s Dreamland Aqua Park, keeping score at a local football match, or managing their allowance for the latest gadgets, strong math skills build the confidence needed for everyday challenges. Our interactive lessons make learning both straightforward and enjoyable. Since kids in Oman learn differently, we tailor our approach to each child’s unique style. From Muscat’s vibrant city life to its beautiful natural landscapes, BrightChamps brings math to life, making it relatable and exciting throughout Oman. Let’s make fraction conversions a fun part of every child’s math journey!
INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom