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Last updated on August 5, 2025

1⁄8 as a Decimal

Professor Greenline Explaining Math Concepts

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 8. 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 that to the right represents the fractional part.

1⁄8 as a Decimal for US Students
Professor Greenline from BrightChamps

What is 1⁄8 as a decimal?

1⁄8 as a decimal

Answer

 

1⁄8 in decimals can be written as 0.125. It is a terminating decimal, meaning it ends without repeating.

 

Explanation

 

To get 1⁄8 in decimal, we will use the division method. Here as 1 is smaller than 8, we will take help of the decimal method which will give us 0.125. 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 (8) will be taken as the divisor.

 

Step 2: As 1 is smaller than 8, it can't be divided directly; here 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 3: Now that it is 10, we can divide it by 8. 8 goes into 10 one time, so we write 1 in the quotient place. Subtracting 8 from 10 gives 2.

 

Step 4: Bring down another 0 in the dividend place to make 2 as 20, then divide by 8. 8 goes into 20 two times, so we write 2 in the quotient place. Subtracting 16 from 20 gives 4.

 

Step 5: Bring down another 0 to make 4 as 40, then divide by 8. 8 goes into 40 five times, so we write 5 in the quotient place. Subtracting 40 from 40 gives 0, ending the division.

 

The answer for 1⁄8 as a decimal will be 0.125.

Professor Greenline from BrightChamps

Important Glossaries for 1⁄8 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.
     
  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
Math Teacher Background Image
Math Teacher Image

Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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