0.45% as a Fraction

Professor Greenline Explaining Math Concepts

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Intermediate

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Numbers can be categorized into different types. A fraction is one of its kinds. 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, 0.45%, we are going to learn how to convert a percentage to a fraction.

What is 0.45% as a Fraction?

$0.45% as a fraction$

Answer

The answer for 0.45% as a fraction will be 9/2000.

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, any percentage should be converted to a decimal for easy calculation. Here, 0.45% is the percentage, and to convert it to a decimal, divide by 100: 0.45% = 0.0045

Step 2: To convert the decimal 0.0045 to a fraction, consider it as 0.0045/1.

Step 3: To remove the decimal from the fraction, multiply both the numerator and denominator by 10000 (because there are 4 decimal places): 0.0045/1 × 10000/10000 = 45/10000

Step 4: Here 5 is the GCD of 45 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 5: 45/10000 = 9/2000

Hence, 0.45% can be written as a fraction 9/2000.

Important Glossaries for 0.45% 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.
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.