33.33% 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. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 33.33%, we are going to learn how to convert a percentage to a fraction.

33.33% as a Fraction for US Students

What is 33.33% as a Fraction?

$33.33% as a fraction$

Answer

The answer for 33.33% as a fraction will be 1/3.

Explanation

Converting a percentage to a fraction is a straightforward task. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, convert the percentage to a decimal by dividing by 100. Here, 33.33% becomes 0.3333.

Step 2: To convert the decimal to a fraction, consider 0.3333 as the number on the numerator and the base number 1 as the denominator. Then, 0.3333 becomes 0.3333/1.

Step 3: To remove the decimal, multiply both the numerator and denominator by 10000 (because there are four decimal places). 0.3333/1 × 10000/10000 = 3333/10000

Step 4: Here 3333 and 10000 have a common factor of 3333. Now, to make the fraction simpler, divide the numerator and denominator by 3333. 3333/10000 = 1/3

Thus, 33.33% can be written as a fraction 1/3.

Important Glossaries for 33.33% as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Percentage: A number expressed as a fraction of 100, denoted by the symbol %.
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.