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Last updated on March 5th, 2025

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2/14 as a decimal

Professor Greenline Explaining Math Concepts
Foundation
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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, 2, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 14. 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.

Professor Greenline from BrightChamps

What is 2/14 as a decimal?

2/14 as a decimal

 

Answer

 

2/14 in decimals can be written as 0.142857... It is a recurring decimal, indicating it will repeat the same sequence of digits infinitely.

 

Explanation

 

To convert 2/14 to a decimal, we will use the division method. Here, as 2 is smaller than 14, we will employ the decimal method, which will yield 0.142857.

 

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 (14) will be taken as the divisor.

 

Step 2: As 2 is smaller than 14, it can't be divided directly. We will add a decimal point in the quotient and a zero to the dividend, changing 2 to 20.

 

Step 3: Now that it is 20, we can divide it by 14. Determine how many times 14 fits into 20. Step 4: 14 goes into 20 once, so write 1 in the quotient place. Subtract 14 from 20, giving 6.

 

Step 5: Bring down another 0 to the dividend place, making it 60, and repeat the division process. The division process continues, and we don't get the remainder as 0, resulting in a recurring decimal.

 

The answer for 2/14 as a decimal will be 0.142857...

Professor Greenline from BrightChamps

Important Glossaries for 2/14 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 a sequence of digits infinitely.
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