0.4% as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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Numbers can be categorized into different types. Fractions are one of these types. A fraction is always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form 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 0.4% as a Fraction?

$0.4% as a fraction$

Answer

The answer for 0.4% as a fraction will be 1/250.

Explanation

Converting a percentage to a fraction is a task 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, 0.4% becomes 0.4/100 or 0.004.

Step 2: Convert the decimal to a fraction by placing 0.004 over 1. Then, 0.004 becomes 0.004/1.

Step 3: To remove the decimal from the fraction, multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 0.004/1 × 1000/1000 = 4/1000

Step 4: Simplify the fraction by finding the GCD of 4 and 1000, which is 4. Divide both the numerator and the denominator by 4. 4/1000 = 1/250

Thus, 0.4% can be written as a fraction 1/250.

Important Glossaries for 0.4% 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 and includes a decimal point to separate the whole part from the fractional part.
Percentage: A way of expressing a number as a fraction of 100, often denoted using the percent symbol (%).
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.