BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon118 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

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 US 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 United States

At BrightChamps, we understand math questions are more than just calculations—they’re gateways to endless possibilities! Our goal is to support children across the United States in mastering key math skills, focusing today on the 5.333333333 as a Fraction with a special emphasis on understanding fraction conversions—in a fun, engaging, and easy-to-grasp way. Whether your child is calculating how quickly a roller coaster zooms through Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for the latest gadgets, strong math skills build the confidence they need to tackle everyday challenges. Our interactive lessons keep learning enjoyable and straightforward. Since kids across the USA learn differently, we customize our approach to suit each child’s unique style. From the bustling streets of New York City to the sunny coastlines of California, BrightChamps brings math to life, making it relevant and exciting throughout America. Let’s make fraction conversions a fun part of every child’s math adventure!
INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom