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Last updated on March 3rd, 2025

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5/11 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), here 5, representing how many parts out of the whole, and the denominator (the number below), here 11, showing how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

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

What is 5/11 as a decimal?

5/11 as a decimal

 

Answer

 

5/11 in decimals can be written as 0.4545... It is a recurring decimal, meaning it will repeat the same sequence of digits infinitely.

 

Explanation

 

To convert 5/11 to a decimal, we will use the division method. As 5 is smaller than 11, we will use decimals to perform the division, resulting in 0.4545.

 

Let's break down the process step by step:

 

Step 1: Identify the numerator and denominator, where the numerator (5) will be the dividend and the denominator (11) will be the divisor.

 

Step 2: Since 5 is smaller than 11, it can't be divided directly. We will use decimals by adding 0 to the dividend, making 5 into 50, and adding a decimal point in the quotient.

 

Step 3: Now, divide 50 by 11. Let's see how many times 11 fits into 50.

 

Step 4: 50 is not a multiple of 11, so we find the nearest number, which is 11 × 4 = 44. Write 4 in the quotient and subtract 44 from 50, which gives 6.

 

Step 5: Bring down another 0 in the dividend to make 60 and continue the division process. The division process continues, and since we don't get 0 as a remainder, this process is called a recurring decimal.

 

The answer for 5/11 as a decimal will be 0.4545...

Professor Greenline from BrightChamps

Important Glossaries for 5/11 as a decimal

  • 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.
     
  • Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.
Professor Greenline from BrightChamps

About BrightChamps in Thailand

At BrightChamps, math questions go beyond simple problems—they open the door to endless opportunities! Our goal is to help children throughout Thailand master important skills, such as today’s focus on the 5/11 as a Decimal, with a special focus on decimal conversions—in a way that’s engaging, fun, and simple to follow. Whether your child is calculating the speed of a roller coaster at Dream World, tracking scores at a local football match, or managing their allowance to buy the latest gadgets, solid math skills give them the confidence to handle everyday tasks. Our lessons are designed to be interactive and enjoyable. Because children in Thailand have different learning styles, we customize our teaching to suit each one. From the busy streets of Bangkok to the tropical islands of Phuket, BrightChamps brings math to life, making it relatable and exciting across Thailand. Let’s make decimal conversions a fun part of every child’s math journey!
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