BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon137 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

5 3/11 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top), here 3, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 11. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

5 3/11 as a Decimal for Saudi Students
Professor Greenline from BrightChamps

What is 5 3/11 as a decimal?

5 3/11 as a decimal

Answer

 

5 3/11 in decimals can be written as 5.2727….. It is a recurring decimal, indicating it will repeat the same sequence infinitely.

 

Explanation

 

To convert 5 3/11 into a decimal, we need to separate the whole number and the fractional part. First, convert the fraction 3/11 into a decimal using division. Then, combine this result with the whole number part. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator of the fractional part, where the numerator (3) will be taken as the dividend and the denominator (11) as the divisor.

 

Step 2: Divide 3 by 11. Since 3 is smaller than 11, we will use the decimal method by adding a decimal point in the quotient and making the dividend 30.

 

Step 3: Divide 30 by 11, which gives approximately 2 as 11 * 2 = 22. Subtract 22 from 30, which leaves 8.

 

Step 4: Bring down another 0 in the dividend place to make 80 and continue the division process. Divide 80 by 11, which gives approximately 7 (11 * 7 = 77). Subtract 77 from 80, and you get 3.

 

Step 5: Repeat the process, bringing down zeros and continuing the division.The process will continue indefinitely, indicating a recurring decimal.

 

Thus, the fraction 3/11 as a decimal is 0.2727..., and combined with the whole number 5, the final answer is 5.2727...

Professor Greenline from BrightChamps

Important Glossaries for 5 3/11 as a decimal

  • Mixed Number: A number consisting of an integer and a proper 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.
     
  • Recurring Decimal: A decimal fraction that repeats a sequence of digits infinitely.
     
  • Division Process: A mathematical operation of dividing a number, used to convert fractions to decimals.
Professor Greenline from BrightChamps

About BrightChamps in Saudi Arabia

At BrightChamps, math questions are more than just sums—they unlock a world of possibilities! Our mission is to guide children across Saudi Arabia in mastering vital skills, including today’s focus on the 5 3/11 as a Decimal with a special focus on decimal conversions—in a lively, enjoyable, and easy-to-understand manner. Whether your child is figuring out how fast a roller coaster moves at Riyadh’s Al Hokair Land, tracking scores at a local football match, or managing their allowance for gadgets, strong math skills boost their confidence for everyday challenges. Our interactive lessons are both fun and simple to follow. Since children in Saudi Arabia learn in many ways, we tailor our teaching to each child’s unique style. From the bustling streets of Riyadh to the historic sites of Jeddah, BrightChamps makes math come alive, making it relatable and exciting throughout Saudi Arabia. Let’s make decimal 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