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Last updated on March 15th, 2025

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2 1/7 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: numerator (number on the top), here, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 7. 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 2 1/7 as a decimal?

2 1/7 as a decimal

 

Answer

 

2 1/7 in decimals can be written as approximately 2.142857. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

 

Explanation

 

To get 2 1/7 in decimal, we will use the division method for the fractional part. Let's see the step-by-step breakdown of the process:

 

Step 1: Separate the whole number from the fraction. Here, 2 is the whole number, and 1/7 is the fraction.

 

Step 2: Identify the numerator and denominator for the fraction because the numerator (1) will be taken as the dividend, and the denominator (7) will be taken as the divisor.

 

Step 3: As 1 is smaller than 7, it can't be divided directly; we will take the help of decimals. We will add 0 to the dividend, making 1 as 10, and add a decimal point in the quotient place.

 

Step 4: Divide 10 by 7. It goes 1 time; write 1 in the quotient place and subtract 7 from 10, giving 3.

 

Step 5: Bring down another 0 to make it 30. Divide 30 by 7, which goes 4 times; write 4 in the quotient place and subtract 28 from 30, giving 2.

 

Step 6: Repeat the process. The division will continue, giving a recurring decimal: 0.142857... Combine this with the whole part:

 

The answer for 2 1/7 as a decimal is 2.142857...

Professor Greenline from BrightChamps

Important Glossaries for 2 1/7 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 in which a sequence of digits repeats infinitely.
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