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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 Singaporean 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 Singapore

At BrightChamps, we know math questions are more than just digits—they’re the keys to countless opportunities! Our mission is to help children across Singapore develop important math skills, focusing today on the 8.16666 as a Fraction with a special focus on fraction conversions—in an engaging, fun, and easy-to-understand manner. Whether your child is figuring out how fast a roller coaster speeds through Universal Studios Singapore, tracking scores at a local football match, or managing their allowance for the latest gadgets, mastering math questions builds confidence for daily life. Our interactive lessons make learning both simple and fun. Since children in Singapore learn in different ways, we adapt our teaching to each child’s unique style. From the city’s vibrant streets to the peaceful gardens, BrightChamps brings math to life, making it relatable and exciting throughout Singapore. Let’s make fraction conversions a delightful part of every child’s math journey!
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