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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 Canadian 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 Canada

At BrightChamps, we believe math questions are more than just digits—they open doors to endless opportunities! Our mission is to help kids all across Canada develop vital math skills, with today’s focus on the 5.333333333 as a Fraction and a special highlight on fraction conversions—presented in a way that’s fun, engaging, and easy to understand. Whether your child is figuring out how fast a roller coaster races through Canada’s Wonderland, tallying scores at a hockey game, or budgeting their allowance for the latest gadgets, confident math skills prepare them for everyday situations. Our interactive lessons make learning straightforward and enjoyable. Since kids across Canada have different learning styles, we personalize our methods to fit each child’s unique needs. From Toronto’s lively streets to British Columbia’s stunning landscapes, BrightChamps makes math come alive, keeping it relevant and exciting across Canada. Let’s turn fraction conversions into a fun math experience for every child!
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