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Last updated on March 17th, 2025

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53/25 as a Decimal

Professor Greenline Explaining Math Concepts
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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 (number on the top) here, 53 represents how many parts out of the whole. The denominator (number below) shows how many parts make up the whole, here it is 25. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

Professor Greenline from BrightChamps

What is 53/25 as a decimal?

53/25 as a decimal

 

Answer

 

53/25 in decimals can be written as 2.12. It is a terminating decimal, indicating that it does not repeat and ends after a few digits.

 

Explanation

 

To get 53/25 in decimal, we use the division method. Since 53 is greater than 25, we can divide directly. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (53) will be taken as the dividend and the denominator (25) will be taken as the divisor.

 

Step 2: Since 53 is greater than 25, we divide directly. 25 goes into 53 two times.

 

Step 3: 2 multiplied by 25 gives 50. Subtract 50 from 53, which leaves a remainder of 3.

 

Step 4: Bring down a 0 to make it 30 and continue the division.

 

Step 5: 25 goes into 30 one time. 1 multiplied by 25 gives 25, subtract from 30 to get a remainder of 5.

 

Step 6: Bring down another 0 to make it 50. 25 goes into 50 two times exactly. The division process ends here with no remainder.

 

Therefore, the decimal form of 53/25 is 2.12.

Professor Greenline from BrightChamps

Important Glossaries for 53/25 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.
     
  • Terminating Decimal: A decimal that has a finite number of digits after the decimal point and does not repeat infinitely.
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