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Last updated on August 5, 2025

7.33333333333 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one such type and 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, 7.33333333333, we are going to learn how to convert a decimal to a fraction.

7.33333333333 as a Fraction for US Students
Professor Greenline from BrightChamps

What is 7.33333333333 as a Fraction?

7.33333333333 as a fraction

 

 

Answer

The answer for 7.33333333333 as a fraction will be 22/3.

 

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: Identify the repeating part in the decimal. Here, 7.33333333333 has a repeating part, which is 3.

 

Step 2: Let x = 7.33333333333... and multiply both sides by 10 to shift the decimal point right by one place. 10x = 73.33333333333...

 

Step 3: Subtract the original x from this equation to eliminate the repeating part. 10x - x = 73.33333333333... - 7.33333333333... 9x = 66

 

Step 4: Solve for x by dividing both sides by 9. x = 66/9

 

Step 5: Simplify the fraction by finding the greatest common divisor (GCD) of 66 and 9, which is 3. Divide both the numerator and the denominator by 3. 66/9 = 22/3

 

Thus, 7.33333333333 can be written as a fraction 22/3.

Professor Greenline from BrightChamps

Important Glossaries for 7.33333333333 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.

 

  • Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.

 

  • 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.
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