0.50% 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. A 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, 0.50%. We are going to learn how to convert a percentage to a fraction.

What is 0.50% as a Fraction?

$0.50% as a fraction$

Answer

The answer for 0.50% as a fraction will be 1/200.

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. Here, 0.50% is the percentage, so divide by 100 to convert it to decimal: 0.50/100 = 0.005.

Step 2: Write 0.005 as a fraction with a denominator of 1. Then, 0.005 becomes 0.005/1.

Step 3: To remove the decimal from a fraction, multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 0.005/1 × 1000/1000 = 5/1000

Step 4: Here 5 is the GCD of 5 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 5. 5/1000 = 1/200 Hence, 0.50% is in the form fraction of 1/200.

Thus, 0.50% can be written as a fraction 1/200.

Important Glossaries for 0.50% 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, 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.