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Last updated on March 11th, 2025

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1/150 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

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: 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 150. 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 1/150 as a decimal?

1/150 as a decimal

 

Answer:

 

1/150 in decimals can be written as 0.006666... It is a recurring decimal, indicating it will repeat the same digit infinitely.

 

Explanation:

 

To get 1/150 in decimal, we will use the division method. Here, as 1 is smaller than 150, we will take help of the decimal method, which will give us 0.006666... 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 (150) will be taken as the divisor.

 

Step 2: As 1 is smaller than 150, it can't be divided; 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't divide it by 150. So we add another 0 to make it 100.

 

Step 4: Again, 100 is smaller than 150, so we add another 0 to make it 1000.

 

Step 5: 1000 divided by 150 gives approximately 6.666... in the quotient, repeating infinitely.

 

The answer for 1/150 as a decimal will be 0.006666...

Professor Greenline from BrightChamps

Important Glossaries for 1/150 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 the same digit or group of digits infinitely.
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