0.004% as a Fraction

Professor Greenline Explaining Math Concepts

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Intermediate

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Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. The numbers in decimal are expressed with a decimal point (.). For example, 0.004%, we are going to learn how to convert a percentage to a fraction.

What is 0.004% as a Fraction?

$0.004% as a fraction$

Answer

The answer for 0.004% as a fraction will be 1/25000.

Explanation

Converting a percentage to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, convert the percentage to a decimal by dividing by 100. Here, 0.004% becomes 0.00004.

Step 2: Convert the decimal to a fraction by placing it over 1: 0.00004/1.

Step 3: To remove the decimal, multiply both the numerator and the denominator by 100000 (because there are 5 decimal places). 0.00004/1 × 100000/100000 = 4/100000

Step 4: Simplify the fraction by finding the GCD of 4 and 100000, which is 4. Divide both the numerator and denominator by 4. 4/100000 = 1/25000

Thus, 0.004% can be written as a fraction 1/25000.

Important Glossaries for 0.004% as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Percentage: A fraction or ratio expressed as part of 100.
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.