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Last updated on May 26th, 2025

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1.45454545455 as a Fraction

Professor Greenline Explaining Math Concepts

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 instance, 1.45454545455. We are going to learn how to convert a repeating decimal to a fraction.

1.45454545455 as a Fraction for Australian Students
Professor Greenline from BrightChamps

What is 1.45454545455 as a Fraction?

Answer

 

The answer for 1.45454545455 as a fraction will be 16/11.

 

Explanation

 

Converting a repeating decimal to a fraction can be achieved through a series of steps. You can follow the steps mentioned below to find the answer.

 

Step 1: Let x = 1.45454545455. Since the repeating part "45" has 2 digits, multiply x by 100 to move the decimal point two places to the right: 100x = 145.45454545455.

 

Step 2: Subtract the original x from this equation to eliminate the repeating part: 100x - x = 145.45454545455 - 1.45454545455 99x = 144.

 

Step 3: Solve for x by dividing both sides by 99: x = 144/99.

 

Step 4: Simplify the fraction by finding the greatest common divisor (GCD) of 144 and 99, which is 9. Divide both the numerator and the denominator by 9: 144/99 = 16/11.

 

Thus, 1.45454545455 can be written as a fraction 16/11.

Professor Greenline from BrightChamps

Important Glossaries for 1.45454545455 as a Fraction

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
     
  • Decimal: A number that uses base ten and includes a decimal point to separate the whole part from the fractional part.
     
  • Repeating Decimal: A decimal in which a sequence 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 1.45454545455 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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