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Last updated on March 3rd, 2025

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1/18 as a Decimal

Professor Greenline Explaining Math Concepts
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Intermediate
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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 of the whole. It has two parts: the 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 18. 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 1/18 as a decimal?

1/18 as a decimal

 

Answer

1/18 in decimals can be written as 0.05555….. It is a recurring decimal, showing it will repeat the same digit infinitely.

 

Explanation

To get 1/18 in decimal, we will use the division method. Here as 1 is smaller than 18, we will use the decimal method to give us 0.05555. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (18) will be taken as the divisor.

 

Step 2: As 1 is smaller than 18, it can't be divided; here we will use decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

 

Step 3: Now that it is 10, we can divide it by 18. Let's see how many times 18 makes 10.

 

Step 4: 10 is not a multiple of 18, so we will look for the nearest number. We will add another 0 to make it 100, then divide 100 by 18, which goes 5 times (18 × 5 = 90). We will write 5 in the quotient place and subtract 90 from 100 to get 10.

 

Step 5: Bring down another 0 in the dividend place and make 10 as 100 and then repeat the division process. The division process continues; we don't get the remainder as 0, this process is called a recurring decimal.

 

The answer for 1/18 as a decimal will be 0.05555……

Professor Greenline from BrightChamps

Important Glossaries for 1/18 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 digit or group of digits repeats infinitely.
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