BrightChamps Logo
Login

Summarize this article:

Live Math Learners Count Icon4622 Learners

Last updated on August 5, 2025

3.83333333333 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. Fractions are one of these types. A fraction is always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), such as 3.83333333333. We are going to learn how to convert a decimal to a fraction.

3.83333333333 as a Fraction for US Students
Professor Greenline from BrightChamps

What is 3.83333333333 as a Fraction?

3.83333333333 as a fractionAnswer

 

The answer for 3.83333333333 as a fraction is 115/30 or simplified as 23/6.

 

Explanation

 

Converting a decimal to a fraction is a task that can be done easily by following these steps:

 

Step 1: Firstly, separate the whole number from the decimal. Here, 3 is the whole number, and 0.83333333333 is the decimal part.

 

Step 2: Convert the repeating decimal to a fraction. Let x = 0.83333333333, then 10x = 8.3333333333. Subtracting these gives 9x = 7.5, so x = 7.5/9. Simplify this to get x = 5/6.

 

Step 3: Combine the whole number with the fraction: 3 + 5/6 = 18/6 + 5/6 = 23/6.

 

Thus, 3.83333333333 can be written as a fraction 23/6.

Professor Greenline from BrightChamps

Important Glossaries for 3.83333333333 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.
     
  • 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.
     
  • Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.
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
UAE - 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