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Last updated on March 5th, 2025

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40% as a decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

It is a simple question on decimal conversion. Firstly, we have to understand percentages and decimals. A percentage represents a part out of 100. It is another way to express a fraction. A decimal is a way to represent a number that is not whole, using a (.) or decimal point to separate the whole part from the fractional 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 40% as a decimal?

40 percent as a decimalAnswer

 

40% in decimals can be written as 0.4.

 

Explanation

 

To convert 40% into a decimal, we follow these steps:

 

Step 1: Understand that 40% means 40 out of 100.

 

Step 2: Write this as a fraction: 40/100.

 

Step 3: Simplify the fraction by dividing both the numerator and the denominator by the greatest common divisor, which is 20.

 

Step 4: This simplifies to 2/5.

 

Step 5: Convert the fraction to a decimal by dividing 2 by 5, which gives 0.4.

 

Therefore, 40% as a decimal is 0.4.

Professor Greenline from BrightChamps

Important Glossaries for 40% as a decimal

  • Percentage: A way of expressing a number as a fraction of 100, denoted by the symbol %.

 

  • Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

 

  • Fraction: A numerical representation of a part of a whole, expressed with a numerator and a denominator.

 

  • Simplification: The process of reducing a fraction to its simplest form by dividing both its numerator and denominator by their greatest common divisor.

 

  • Decimal Conversion: The process of converting a fraction or percentage into its decimal form.
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