2.5% as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

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. Numbers in decimal form are expressed with a decimal point (.), such as 0.025. We are going to learn how to convert a percentage to a fraction.

What is 2.5% as a Fraction?

$2.5% as a fraction$ Answer

The answer for 2.5% as a fraction is 1/40.

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: Convert the percentage to a decimal by dividing by 100. So, 2.5% becomes 0.025.

Step 2: Convert the decimal to a fraction. Here, 0.025 is the number on the numerator and 1 is the denominator. Then, 0.025 becomes 0.025/1.

Step 3: To remove the decimal from the fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 0.025/1 × 1000/1000 = 25/1000

Step 4: Here, 25 is the GCD of 25 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 25. 25/1000 = 1/40 Hence, 2.5% is in the form of a fraction as 1/40.

Thus, 2.5% can be written as a fraction 1/40.

Important Glossaries for 2.5% 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 fraction that represents a number out of 100.
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.