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Last updated on May 26th, 2025

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0.165 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one such type. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2; in decimals, numbers are expressed with a decimal point (.), for example, 0.165. We are going to learn how to convert a decimal to a fraction.

0.165 as a Fraction for UAE Students
Professor Greenline from BrightChamps

What is 0.165 as a Fraction?

0.165 as a fraction

 

 

Answer

 

The answer for 0.165 as a fraction will be 33/200.

 

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, 0.165 is the number in the numerator, and the base number 1 will be the denominator. Then, 0.165 becomes 0.165/1.

 

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 1000 (because there are 3 decimal places). 0.165/1 × 1000/1000 = 165/1000

 

Step 3: Here, 5 is the GCD of 165 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 5. 165/1000 = 33/200 Hence, 0.165 is in the form of the fraction 33/200.

 

Thus, 0.165 can be written as a fraction 33/200.

Professor Greenline from BrightChamps

Important Glossaries for 0.165 as a Fraction

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

 

  • Decimal: A number that uses 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 number that divides both the numerator and the denominator 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 0.165 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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