0.400 as a Fraction

Answer

The answer for 0.400 as a fraction is 2/5.

Explanation

Converting a decimal to a fraction is a task that can be done easily by following a few steps.

Step 1: Firstly, convert any decimal number to a fraction for easy calculation. Here, 0.400 is the number in the numerator, and the base number 1 will be the denominator. Then, 0.400 becomes 0.400/1.

Step 2: To remove the decimal from a fraction, multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 0.400/1 × 1000/1000 = 400/1000

Step 3: Here 200 is the GCD (Greatest Common Divisor) of 400 and 1000. Now, to simplify the fraction, divide both the numerator and the denominator by 200. 400/1000 = 2/5 Hence, 0.400 is in the fraction form of 2/5.

Thus, 0.400 can be written as a fraction 2/5.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten system 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.

• GCD (Greatest Common Divisor): The largest number that divides both the numerator and denominator without leaving a remainder.