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Last updated on 5 August 2025

31.875 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, 31.875, we are going to learn how to convert a decimal to a fraction.

31.875 as a Fraction for Indian Students
Professor Greenline from BrightChamps

What is 31.875 as a Fraction?

31.875 as a fraction

 

Answer

 

The answer for 31.875 as a fraction will be 31 7/8.

 

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, 31.875 is the number on the numerator and the base number 1 will be the denominator. Then, 31.875 becomes 31.875/1.

 

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). 31.875/1 × 1000/1000 = 31875/1000

 

Step 3: Here 125 is the GCD of 31875 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 125. 31875/1000 = 255/8

 

Step 4: Convert the improper fraction to a mixed number. 255/8 = 31 7/8

 

Thus, 31.875 can be written as a fraction 31 7/8.

Professor Greenline from BrightChamps

Important Glossaries for 31.875 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.

 

  • Mixed Number: A number consisting of an integer and a proper fraction.
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