40% as a Decimal

Answer

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.

• 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.