BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon152 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

0.166666 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 whole and fractional parts. Decimals represent the fractional part of numbers. For example, 1/2; numbers in decimal form are expressed with a decimal point (.), such as 0.166666. We are going to learn how to convert a decimal to a fraction.

0.166666 as a Fraction for UAE Students
Professor Greenline from BrightChamps

What is 0.166666 as a Fraction?

0.166666 as a fraction

 

Answer

 

The answer for 0.166666 as a fraction is 1/6.

 

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: Firstly, any repeating decimal should be expressed as a fraction for easy calculation. Here, 0.166666... is a repeating decimal. Let x = 0.166666...

 

Step 2: To eliminate the repeating part, multiply both sides by 10 to shift the decimal point. 10x = 1.66666...

 

Step 3: Subtract the initial equation from this result to eliminate the repeating decimal part. 10x - x = 1.66666... - 0.166666... 9x = 1.5

 

Step 4: Solve for x by dividing both sides by 9. x = 1.5/9 Step 5: Simplify the fraction 1.5/9. Convert 1.5 to a fraction (3/2), so the equation becomes: (3/2)/9 = 3/18 = 1/6

 

Thus, 0.166666... can be written as the fraction 1/6.

Professor Greenline from BrightChamps

Important Glossaries for 0.166666 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 United Arab Emirates

At BrightChamps, we know math questions are more than just digits—they open doors to a world of opportunities! Our goal is to help kids all across the UAE develop essential math skills, focusing today on the 0.166666 as a Fraction with a special focus on fraction conversions—in an engaging, lively, and easy-to-understand manner. Whether your child is figuring out how fast a roller coaster speeds through Dubai Parks and Resorts, keeping track of scores at a local football match, or managing their allowance for the latest gadgets, strong math skills build the confidence needed for daily challenges. Our interactive lessons make learning simple and enjoyable. Because children in the UAE learn in diverse ways, we adapt our approach to each child’s unique style. From Dubai’s towering skyscrapers to Abu Dhabi’s cultural heritage, BrightChamps brings math to life, making it relatable and exciting throughout the UAE. 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