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Last updated on August 5, 2025

5/11 as a Decimal

Professor Greenline Explaining Math Concepts
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.
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