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Last updated on May 26th, 2025

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5.333333333 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, 5.333333333, we are going to learn how to convert a decimal to a fraction.

5.333333333 as a Fraction for Australian Students
Professor Greenline from BrightChamps

What is 5.333333333 as a Fraction?

5.333333333 as a fraction

Answer

 

The answer for 5.333333333 as a fraction will be 16/3.

 

Explanation

 

Converting a decimal to a fraction involves recognizing repeating patterns and simplifying. You can follow the steps mentioned below to find the answer.

 

Step 1: Identify the repeating part of the decimal. Here, 5.333333333 can be expressed as 5 + 0.333333333... where 3 repeats.

 

Step 2: Let x = 0.333333333... Now multiply both sides by 10 to shift the decimal point: 10x = 3.333333333...

 

Step 3: Subtract the original equation from this new equation: 10x - x = 3.333333333... - 0.333333333..., which simplifies to 9x = 3.

 

Step 4: Solve for x: x = 3/9, which simplifies to x = 1/3. Therefore, 5.333333333 = 5 + 1/3 = 16/3.

 

Thus, 5.333333333 can be written as a fraction 16/3.

Professor Greenline from BrightChamps

Important Glossaries for 5.333333333 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.
     
  • Simplification: The process of reducing a fraction to its smallest terms.
     
  • Mixed Number: A number consisting of an integer and a proper fraction.
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 5.333333333 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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