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Last updated on March 3rd, 2025

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13/25 as a Decimal

Professor Greenline Explaining Math Concepts
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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 13 represents how many parts out of the whole. The denominator (number below) shows how many parts make 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

Professor Greenline from BrightChamps

What is 13/25 as a decimal?

13/25 as a decimal

 

Answer

13/25 in decimal can be written as 0.52. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

To convert 13/25 to a decimal, we use the division method. Since 13 is smaller than 25, we will use decimals to carry out the division precisely. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator. The numerator (13) will be taken as the dividend, and the denominator (25) will be taken as the divisor.

 

Step 2: As 13 is smaller than 25, it can't be divided without using decimals. Add a decimal point and a zero to the dividend, making it 130.

 

Step 3: Now, divide 130 by 25. Determine how many times 25 fits into 130.

 

Step 4: 25 fits into 130 approximately 5 times (25 × 5 = 125). Write 5 in the quotient place. Subtract 125 from 130, resulting in a remainder of 5.

 

Step 5: Bring down another 0, making it 50, and divide by 25 again.

 

Step 6: 25 fits into 50 exactly 2 times (25 × 2 = 50). Write 2 in the quotient place. Subtract 50 from 50, resulting in a remainder of 0. The division process ends here as we have a remainder of 0.

 

The answer for 13/25 as a decimal is 0.52.

Professor Greenline from BrightChamps

Important Glossaries for 13/25 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 ends and does not repeat infinitely.
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