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Last updated on March 11th, 2025

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13/2 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
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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 components: the numerator (the number on the top) here, 13 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 2. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional 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 13/2 as a decimal?

13/2 as a decimal

 

Answer

 

13/2 in decimals can be written as 6.5. It is a terminating decimal.

 

Explanation

 

To convert 13/2 into a 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; the numerator (13) will be taken as the dividend, and the denominator (2) will be the divisor.

 

Step 2: Divide 13 by 2. Start by seeing how many times 2 fits into 13.

 

Step 3: 2 goes into 13 six times (2 × 6 = 12). Write 6 in the quotient place.

 

Step 4: Subtract 12 from 13, leaving a remainder of 1.

 

Step 5: Bring down a 0, making it 10. Divide 10 by 2, which goes exactly 5 times (2 × 5 = 10).

 

Step 6: Write 5 in the quotient place after the decimal point. Subtracting 10 from 10 gives a remainder of 0, ending the division process.

 

The answer for 13/2 as a decimal is 6.5.

Professor Greenline from BrightChamps

Important Glossaries for 13/2 as a decimal

  • Fraction: A numerical expression representing a part of a whole, consisting of a numerator and a denominator.

 

  • Decimal: A numerical representation using the base ten, with a decimal point separating the whole part from the fractional part.

 

  • Numerator: The top part of a fraction, indicating the number of parts being considered out of the whole.

 

  • Denominator: The bottom part of a fraction, showing the total number of equal parts that make up a whole.

 

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