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Last updated on March 7th, 2025

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0.3333333333 as a Fraction

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

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, 0.3333333333, we are going to learn how to convert a decimal to a fraction.

Professor Greenline from BrightChamps

What is 0.3333333333 as a Fraction?

0.3333333333 as a fraction

 

 

Answer

The answer for 0.3333333333 as a fraction will be 1/3.

 

Explanation

Converting a decimal 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: Recognize that 0.3333333333 is a repeating decimal. Let's denote this decimal as x, where x = 0.3333333333...

 

Step 2: Multiply x by 10 to shift the decimal point one place to the right: 10x = 3.3333333333...

 

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 3.3333333333... - 0.3333333333... 9x = 3

 

Step 4: Solve for x: x = 3/9

 

Step 5: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3: 3/9 = 1/3

 

Thus, 0.3333333333 can be written as a fraction 1/3.

Professor Greenline from BrightChamps

Important Glossaries for 0.3333333333 as a Fraction

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

 

  • Repeating Decimal: A decimal that has one or more repeating digits indefinitely.

 

  • 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.

 

  • Greatest Common Divisor (GCD): The largest positive integer that divides the numbers without a remainder.
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