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2/12 as a Decimal

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 2, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here, it is 12. A decimal is a way to represent a 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.

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Professor Greenline from BrightChamps

What is 2/12 as a decimal?

2/12 as a decimal

 

Answer

 

2/12 in decimals can be written as 0.1666…. It is a recurring decimal, showing it will repeat the same digit infinitely.

 

Explanation

 

To get 2/12 in decimal, we will use the division method. Here, as 2 is smaller than 12, we will take the help of the decimal method, which will give us 0.1666.

 

Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend, and the denominator (12) will be taken as the divisor.

 

Step 2: As 2 is smaller than 12, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 2 as 20, and add a decimal point in the quotient place.

 

Step 3: Now that it is 20, we can divide it by 12. Let's see how many times 12 fits into 20.

 

Step 4: 20 is not a multiple of 12, so we will look for the nearest number that is 12 × 1 = 12. We will write 1 in the quotient place and subtract 12 from 20, which gives 8.

 

Step 5: Bring down another 0 in the dividend place, making it 80, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

 

The answer for 2/12 as a decimal will be 0.1666….

Professor Greenline from BrightChamps

Important Glossaries for 2/12 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 has digits that repeat infinitely.
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