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Last updated on August 5, 2025

25/3 as a Decimal

Professor Greenline Explaining Math Concepts
Professor Greenline from BrightChamps

What is 25/3 as a decimal?

25/3 as a decimal

Answer

 

25/3 in decimals can be written as 8.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

 

Explanation

 

To get 25/3 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (25) will be taken as the dividend and the denominator (3) will be taken as the divisor.

 

Step 2: Divide 25 by 3. We find that 3 goes into 25 eight times (3 × 8 = 24). Write 8 in the quotient place and subtract 24 from 25 to get 1.

 

Step 3: Bring down a 0 to make it 10. Divide 10 by 3.

 

Step 4: 10 divided by 3 gives 3 (3 × 3 = 9). Write 3 in the quotient place and subtract 9 from 10 to get 1.

 

Step 5: Bring down another 0 to make it 10 and repeat the division process. This division process continues, and we don't get the remainder as 0; this process is called a recurring decimal.

 

The answer for 25/3 as a decimal will be 8.3333……

Professor Greenline from BrightChamps

Important Glossaries for 25/3 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 fraction that repeats the same digit or group of digits infinitely.
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