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Last updated on May 29th, 2025

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5.75% 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, 5.75%, we are going to learn how to convert a percentage to a fraction.

5.75% as a Fraction for UAE Students
Professor Greenline from BrightChamps

What is 5.75% as a Fraction?

5.75% as a fractionAnswer

 

The answer for 5.75% as a fraction will be 23/400.

 

Explanation

 

Converting a percentage 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, convert the percentage to a decimal. Here, 5.75% means 5.75/100 or 0.0575.

 

Step 2: To convert the decimal to a fraction, write 0.0575 as 57.5/1000 (since there are four decimal places, multiply by 10000).

 

Step 3: To simplify, multiply 57.5/1000 by 10/10 to remove the decimal, resulting in 575/10000.

 

Step 4: Find the GCD of 575 and 10000, which is 25. Divide both numerator and denominator by this GCD. 575/10000 = 23/400

 

Thus, 5.75% can be written as a fraction 23/400.

Professor Greenline from BrightChamps

Important Glossaries for 5.75% as a Fraction

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
     
  • Percentage: A fraction whose denominator is 100, expressed with a percent sign (%).
     
  • 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 number that can divide two or more numbers without leaving a remainder.
Professor Greenline from BrightChamps

About BrightChamps in United Arab Emirates

At BrightChamps, we know math questions are more than just digits—they open doors to a world of opportunities! Our goal is to help kids all across the UAE develop essential math skills, focusing today on the 5.75% as a Fraction with a special focus on fraction conversions—in an engaging, lively, and easy-to-understand manner. Whether your child is figuring out how fast a roller coaster speeds through Dubai Parks and Resorts, keeping track of scores at a local football match, or managing their allowance for the latest gadgets, strong math skills build the confidence needed for daily challenges. Our interactive lessons make learning simple and enjoyable. Because children in the UAE learn in diverse ways, we adapt our approach to each child’s unique style. From Dubai’s towering skyscrapers to Abu Dhabi’s cultural heritage, BrightChamps brings math to life, making it relatable and exciting throughout the UAE. Let’s make fraction conversions a fun part of every child’s math journey!
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