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Last updated on March 11th, 2025

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8 1/2 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

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, 17, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 2. A decimal is a way to represent the 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 that to the right represents the fractional part.

Professor Greenline from BrightChamps

What is 8 1/2 as a decimal?

8 1/2 as a decimal

 

Answer

 

8 1/2 in decimals can be written as 8.5. It is a terminating decimal, showing it ends and does not repeat infinitely.

 

Explanation

 

To get 8 1/2 in decimal, we will first convert the mixed number to an improper fraction and then use division. 8 1/2 is the same as 17/2. Let's see the step-by-step breakdown of the process:

 

Step 1: Convert the mixed number to an improper fraction. Here, 8 1/2 becomes 17/2.

 

Step 2: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (2) will be taken as the divisor.

 

Step 3: Divide 17 by 2.

 

Step 4: 17 divided by 2 gives 8 as the quotient with a remainder of 1.

 

Step 5: Add a decimal point and bring down a 0 to make the remainder 10. Divide 10 by 2, which gives 5. The division process ends here as there is no remainder.

 

The answer for 8 1/2 as a decimal will be 8.5.

Professor Greenline from BrightChamps

Important Glossaries for 8 1/2 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.

 

  • Mixed Number: A number consisting of an integer and a proper fraction.

 

  • Improper Fraction: A fraction in which the numerator is greater than or equal to the denominator.

 

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