33.3% 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 kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent 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, 33.3%, we are going to learn how to convert a percentage to a fraction.

What is 33.3% as a Fraction?

$33.3% as a fraction$

Answer

The answer for 33.3% as a fraction will be 1/3.

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 number should be converted to a fraction for easy calculation. Here, 33.3% is the number. To convert a percentage to a fraction, divide by 100. Thus, 33.3% becomes 33.3/100.

Step 2: To remove the decimal from the fraction, you need to multiply both the numerator and denominator by 10 (because there is only one decimal place). 33.3/100 × 10/10 = 333/1000

Step 3: Here 333 and 1000 do not have a common factor other than 1, but the decimal 33.3% is often used to approximate 1/3. Therefore, for practical purposes, 33.3% can be approximated as 1/3.

Thus, 33.3% can be approximately written as a fraction 1/3.

Important Glossaries for 33.3% 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, denoted 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.
Recurring Decimal: A decimal that has one or more repeating digits or sequences of digits after the decimal point.