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Last updated on March 7th, 2025

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83.333 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 kind. 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, 83.333. We are going to learn how to convert a decimal to a fraction.

Professor Greenline from BrightChamps

What is 83.333 as a Fraction?

83.333 as a fraction

 

 

 

Answer:

 

The answer for 83.333 as a fraction is 250/3.

 

Explanation:

 

Converting a decimal to a fraction can be done easily by following the steps mentioned below.

 

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 83.333 is the number on the numerator, and the base number 1 will be the denominator. Then, 83.333 becomes 83.333/1.

 

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 83.333/1 × 1000/1000 = 83333/1000

 

Step 3: Here, 333 is the GCD of 83333 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 333. 83333/1000 = 250/3 Hence, 83.333 is in the fractional form of 250/3.

 

Thus, 83.333 can be written as a fraction 250/3.

Professor Greenline from BrightChamps

Important Glossaries for 83.333 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.

 

  • 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.

 

  • Repeating Decimal: A decimal that has one or more repeating numbers after the decimal point infinitely.
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