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Last updated on May 26th, 2025

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1.11111111 as a Fraction

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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. A 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, 1.11111111, we are going to learn how to convert a decimal to a fraction.

1.11111111 as a Fraction for Australian Students
Professor Greenline from BrightChamps

What is 1.11111111 as a Fraction?

Answer

 

The answer for 1.11111111 as a fraction will be 10/9.

 

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, separate the whole number from the repeating decimal part. The whole number here is 1, and the repeating decimal is 0.11111111. This can be represented as 1 + 0.11111111.

 

Step 2: To convert 0.11111111 to a fraction, note that it is a repeating decimal. Let x = 0.11111111...

 

Step 3: Multiply both sides of the equation by 10 to shift the decimal point: 10x = 1.11111111...

 

Step 4: Subtract the original x equation from this new equation: 10x - x = 1.11111111... - 0.11111111...

 

Step 5: This results in: 9x = 1

 

Step 6: Solving for x gives x = 1/9

 

Step 7: Therefore, 1 + 0.11111111... = 1 + 1/9 = 10/9

 

Thus, 1.11111111 can be written as a fraction 10/9.

Professor Greenline from BrightChamps

Important Glossaries for 1.11111111 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 Australia

At BrightChamps, we know math questions are more than just numbers—they open doors to countless opportunities! Our goal is to help kids all across Australia develop essential math skills, focusing today on the 1.11111111 as a Fraction with a special focus on fraction conversions—in an engaging, fun, and easy-to-follow way. Whether your child is figuring out how fast a roller coaster speeds through Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the latest gadgets, confident math skills prepare them for everyday challenges. Our interactive lessons make learning straightforward and enjoyable. Since kids in Australia learn in many different ways, we tailor our approach to fit each child’s unique style. From Sydney’s vibrant streets to the stunning beaches of the Gold Coast, BrightChamps brings math to life, making it relevant and exciting throughout Australia. Let’s make fraction conversions a fun part of every child’s math journey!
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Max, the Girl Character from BrightChamps

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: She loves to read number jokes and games.

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