82.5% as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. A fraction is one of these types. 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 (.), for example, 0.825. We are going to learn how to convert a percentage to a fraction.

What is 82.5% as a Fraction?

$82.5% as a fraction$

Answer

The answer for 82.5% as a fraction will be 33/40.

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, any percentage should be converted to a decimal by dividing by 100. Here, 82.5% becomes 0.825.

Step 2: Next, convert the decimal to a fraction. 0.825 becomes 0.825/1.

Step 3: To remove the decimal, multiply both the numerator and the denominator by 1000 (because there are 3 decimal places). 0.825/1 × 1000/1000 = 825/1000

Step 4: Here, 25 is the GCD of 825 and 1000. Now, to make the fraction simpler, divide the numerator and the denominator by 25. 825/1000 = 33/40

Thus, 82.5% can be written as the fraction 33/40.

Important Glossaries for 82.5% as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Percentage: A way of expressing a number as a fraction of 100.
Decimal: A number that 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.