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Last updated on March 4th, 2025

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8/32 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 from the whole. It has two parts: the numerator (number on the top) here, 8 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 32. 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 those to the right represent the fractional part.

Professor Greenline from BrightChamps

What is 8/32 as a decimal?

8/32 as a decimal

 

 

Answer

8/32 in decimals can be written as 0.25. It is a terminating decimal, which means it ends after a few digits.

 

Explanation

To get 8/32 in decimal, we will use the division method. Here, since 8 is smaller than 32, we will utilize the decimal method to obtain 0.25. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (32) will be taken as the divisor.

 

Step 2: As 8 is smaller than 32, it can't be divided directly. We will add a decimal point to the quotient and append 0 to the dividend, making it 80.

 

Step 3: Now, 80 can be divided by 32. Determine how many times 32 fits into 80.

 

Step 4: 32 fits into 80 twice, as 32 × 2 = 64. Write 2 in the quotient place and subtract 64 from 80, giving 16.

 

Step 5: Bring down another 0 in the dividend place, making it 160, and repeat the division process.

 

Step 6: 32 fits into 160 five times exactly, as 32 × 5 = 160, yielding no remainder.

 

This process shows that 8/32 as a decimal is 0.25.

Professor Greenline from BrightChamps

Important Glossaries for 8/32 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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