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Last updated on May 26th, 2025

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8.16666 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. Fractions are one such type. A fraction is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal are expressed with a decimal point (.), For example, 8.16666, we are going to learn how to convert a decimal to a fraction.

8.16666 as a Fraction for UAE Students
Professor Greenline from BrightChamps

What is 8.16666 as a Fraction?

8.16666 as a fraction

 

Answer

The answer for 8.16666 as a fraction will be 49/6.

 

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, 8.16666 is the number. We note that 8.16666 is a repeating decimal with 6 repeating.

 

Step 2: Let x = 8.16666... (where 6 is repeating). Then, multiply by 10 to shift the decimal point and separate the repeating part: 10x = 81.6666...

 

Step 3: Multiply by 10 again to align repeating parts: 100x = 816.6666...

 

Step 4: Subtract the first equation from the second to eliminate the repeating decimal: 100x - 10x = 816.6666... - 81.6666... 90x = 735

 

Step 5: Solve for x: x = 735/90

 

Step 6: Simplify the fraction by finding the GCD of 735 and 90, which is 15: 735/90 = 49/6

 

Thus, 8.16666 can be written as a fraction 49/6.

Professor Greenline from BrightChamps

Important Glossaries for 8.16666 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.

 

  • Repeating Decimal: A decimal in which one or more digits repeat infinitely.
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 8.16666 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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