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Last updated on August 5, 2025

12/90 as a Decimal

Professor Greenline Explaining Math Concepts
Professor Greenline from BrightChamps

What is 12/90 as a decimal?

12/90 as a decimalAnswer

 

12/90 in decimals can be written as 0.1333... It is a recurring decimal, indicating that it will repeat the same digit infinitely.

 

Explanation

 

To convert 12/90 into a decimal, we will use division. Since 12 is smaller than 90, we will use the decimal method, which will give us 0.1333. 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 (90) will be taken as the divisor.

 

Step 2: As 12 is smaller than 90, it can't be divided, so we will use decimals. We will add 0 to the dividend, making 12 into 120 and adding a decimal point in the quotient place.

 

Step 3: Now that it is 120, we can divide it by 90. Let's see how many times 90 fits into 120.

 

Step 4: 120 is not a multiple of 90, so we will look for the nearest number that is 90 × 1 = 90. We will write 1 in the quotient place and subtract 90 from 120, giving 30.

 

Step 5: Bring down another 0 in the dividend place, making 30 into 300, and then repeat the division process. The division process continues, and we do not get a remainder of 0. This process results in a recurring decimal.

 

The answer for 12/90 as a decimal will be 0.1333...

Professor Greenline from BrightChamps

Important Glossaries for 12/90 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.
     
  • Recurring Decimal: A decimal that repeats the same digit or group of digits infinitely.
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