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Last updated on March 9th, 2025

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0.222222222222 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents 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, 0.222222222222, we are going to learn how to convert a decimal to a fraction.

0.222222222222 as a Fraction for Filipino Students
Professor Greenline from BrightChamps

What is 0.222222222222 as a Fraction?

0.222222222222 as a fraction

Answer

 

The answer for 0.222222222222 as a fraction will be 2/9.

 

Explanation

 

Converting a repeating decimal to a fraction can be done by following a systematic approach. You can follow the steps mentioned below to find the answer.

 

Step 1: Let x equal the repeating decimal: x = 0.222222222222...

 

Step 2: Multiply both sides of the equation by 10 to shift the decimal point one place to the right: 10x = 2.222222222222...

 

Step 3: Subtract the original equation (Step 1) from this new equation (Step 2): 10x - x = 2.222222222222... - 0.222222222222...

 

Step 4: Simplify the equation: 9x = 2 Step 5: Solve for x by dividing both sides by 9: x = 2/9

 

Thus, 0.222222222222... can be written as the fraction 2/9.

Professor Greenline from BrightChamps

Important Glossaries for 0.222222222222 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 Philippines

At BrightChamps, we believe math questions are more than just calculations—they’re gateways to many opportunities! We’re dedicated to helping kids all across the Philippines master essential math skills, focusing today on the 0.222222222222 as a Fraction with a special emphasis on fraction conversions—in a fun, engaging, and easy-to-follow way. Whether your child is figuring out how fast a roller coaster races through Enchanted Kingdom, tracking scores at a local basketball game, or managing their allowance to buy the latest gadgets, strong math skills give them the confidence to tackle everyday challenges. Our interactive lessons keep learning both clear and enjoyable. Since kids in the Philippines learn differently, we customize our approach to fit each child’s style. From the bustling streets of Manila to the beautiful islands of Palawan, BrightChamps brings math to life, making it relevant and exciting throughout the Philippines. Let’s make fraction conversions a fun part of every child’s math journey!
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