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125 LearnersLast updated on March 8th, 2025
0.400 as a Fraction
Numbers can be categorized into different types. Fractions are one of these types. They are always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2 is a fraction, while decimals are expressed with a decimal point (.), such as 0.400. We are going to learn how to convert a decimal to a fraction.
What is 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.
Important Glossaries for 0.400 as a Fraction
- 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.
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