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Last updated on August 5, 2025

12/75 as a Decimal

Professor Greenline Explaining Math Concepts
Professor Greenline from BrightChamps

What is 12/75 as a decimal?

12/75 as a decimal

 

Answer

 

12/75 in decimals can be written as 0.16. It is a terminating decimal, meaning the division process ends after a certain number of decimal places.

 

Explanation

 

To get 12/75 in 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 because the numerator (12) will be taken as the dividend and the denominator (75) will be taken as the divisor.

 

Step 2: As 12 is smaller than 75, it can't be divided directly into a whole number. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 12 as 120 and add a decimal point in the quotient place.

 

Step 3: Now that it is 120, we can divide it by 75. Let's see how many times 75 fits into 120.

 

Step 4: 75 goes into 120 once (1 × 75 = 75). We write 1 in the quotient place and subtract 75 from 120, which gives 45.

 

Step 5: Bring down another 0 in the dividend place making it 450 and then repeat the division process.

 

Step 6: 75 goes into 450 six times (6 × 75 = 450). We write 6 in the quotient place. The remainder is 0, which means the division process ends here.

 

The answer for 12/75 as a decimal will be 0.16.

Professor Greenline from BrightChamps

Important Glossaries for 12/75 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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