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Last updated on May 26th, 2025

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3.64 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, 3.64, we are going to learn how to convert a decimal to a fraction.

3.64 as a Fraction for Global Students
Professor Greenline from BrightChamps

What is 3.64 as a Fraction?

3.64 as a fractionAnswer

 

The answer for 3.64 as a fraction will be 91/25.

 

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: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 3.64 is the number on the numerator and the base number 1 will be the denominator. Then, 3.64 becomes 3.64/1.

 

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 100 (because there are only 2 decimal places). 3.64/1 × 100/100 = 364/100

 

Step 3: Here, 4 is the GCD of 364 and 100. Now, to make the fraction simpler, divide the numerator and denominator by 4. 364/100 = 91/25 Hence, 3.64 is in the fractional form of 91/25.

 

Thus, 3.64 can be written as a fraction 91/25.

Professor Greenline from BrightChamps

Important Glossaries for 3.64 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.
     
  • GCD (Greatest Common Divisor): The largest positive integer that divides two or more integers without a remainder.
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