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Last updated on March 7th, 2025

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3.4375 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, 3.4375, we are going to learn how to convert a decimal to a fraction.

Professor Greenline from BrightChamps

What is 3.4375 as a Fraction?

3.4375 as a fraction

 

Answer

 

The answer for 3.4375 as a fraction will be 55/16.

 

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, 3.4375 is the number on the numerator and the base number 1 will be the denominator. Then, 3.4375 becomes 3.4375/1.

 

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10000 (because there are 4 decimal places). 3.4375/1 × 10000/10000 = 34375/10000

 

Step 3: Here 625 is the GCD of 34375 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 625. 34375/10000 = 55/16 Hence, 3.4375 is in the form of a fraction of 55/16.

 

Thus, 3.4375 can be written as a fraction 55/16.

Professor Greenline from BrightChamps

Important Glossaries for 3.4375 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.
     
  • Greatest Common Divisor (GCD): The largest positive integer that divides each of the integers in a given set without a remainder.
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