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Last updated on August 5, 2025

25/4 as a Decimal

Professor Greenline Explaining Math Concepts
Professor Greenline from BrightChamps

What is 25/4 as a decimal?

25/4 as a decimal

 

Answer

 

25/4 in decimals can be written as 6.25. It is a terminating decimal, meaning it ends after a certain number of digits.

 

Explanation

 

To get 25/4 in decimal, we will use the division method. Here as 25 is larger than 4, we can directly divide it. 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 (4) will be taken as the divisor.

 

Step 2: Divide 25 by 4.

 

Step 3: 4 goes into 25 six times because 4 × 6 = 24.

 

Step 4: Write 6 in the quotient place and subtract 24 from 25 to get a remainder of 1.

 

Step 5: Bring down a 0 to make the remainder 10.

 

Step 6: 4 goes into 10 two times because 4 × 2 = 8.

 

Step 7: Write 2 in the quotient place next to 6, subtract 8 from 10 to get a remainder of 2.

 

Step 8: Bring down another 0 to make the remainder 20.

 

Step 9: 4 goes into 20 five times because 4 × 5 = 20.

 

Step 10: Write 5 in the quotient place next to 6.2 and subtract 20 from 20 to get a remainder of 0. The division process ends here with no remainder.

 

Therefore, the answer for 25/4 as a decimal is 6.25.

Professor Greenline from BrightChamps

Important Glossaries for 25/4 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 system 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.

 

  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
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