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Last updated on May 26th, 2025

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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 UK 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 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 0.166666 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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