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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 Indian 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 India

At BrightChamps, we know math questions are more than just calculations—they unlock countless opportunities! Our aim is to help children all over India grasp important math skills, focusing today on the 0.166666 as a Fraction with special attention to fraction conversions—in a lively, enjoyable, and easy-to-follow manner. Whether your child is figuring out how fast a train passes by, tracking scores during a cricket match, or managing their pocket money to buy the latest gadgets, mastering math skills gives them the confidence to handle everyday challenges. Our interactive lessons make learning simple and fun. Because children in India learn in many different ways, we customize our approach to suit each child’s style. From the busy markets of Mumbai to the vibrant streets of Delhi, BrightChamps brings math to life, making it relatable and exciting throughout India. Let’s make fraction conversions an enjoyable part of every child’s math journey!
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