4.2% as a Fraction

Professor Greenline Explaining Math Concepts

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. Percentages represent a part out of 100. For example, 1/2, the numbers in percentage are expressed with a percent sign (%), for example, 4.2%, we are going to learn how to convert a percentage to a fraction.

4.2% as a Fraction for US Students

What is 4.2% as a Fraction?

Answer

The answer for 4.2% as a fraction will be 21/500.

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: Start by writing the percentage as a fraction over 100. Here, 4.2% becomes 4.2/100.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10 (because there is only 1 decimal place). 4.2/100 × 10/10 = 42/1000

Step 3: Here, 2 is the GCD of 42 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 2. 42/1000 = 21/500

Thus, 4.2% can be written as a fraction 21/500.

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Important Glossaries for 4.2% as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Percentage: A number or ratio expressed as a fraction of 100, indicated by the 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.
GCD (Greatest Common Divisor): The largest positive integer that divides all the numbers in a given set without a remainder.