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Last updated on May 26th, 2025

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1.666666666666 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. Fractions are one of these types. A fraction is always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), for example, 1.666666666666. We are going to learn how to convert a repeating decimal to a fraction.

1.666666666666 as a Fraction for Saudi Students
Professor Greenline from BrightChamps

What is 1.666666666666 as a Fraction?

1.666666666666 as a fraction

 

Answer:

 

The answer for 1.666666666666 as a fraction will be 5/3.

 

Explanation:

 

Converting a repeating decimal to a fraction involves a straightforward process. Follow the steps below to find the answer.

 

Step 1: Let x = 1.666666666666...

 

Step 2: Since the decimal repeats every 6, multiply both sides of the equation by 10 to shift the decimal point to the right by one place. 10x = 16.66666666666...

 

Step 3: Subtract the original equation (Step 1) from this new equation (Step 2) to eliminate the repeating part. 10x - x = 16.66666666666 - 1.666666666666 9x = 15

 

Step 4: Solve for x by dividing both sides by 9. x = 15/9

 

Step 5: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3. 15/9 = 5/3

 

Thus, 1.666666666666 can be written as the fraction 5/3.

Professor Greenline from BrightChamps

Important Glossaries for 1.666666666666 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 a digit or group of digits repeats infinitely.
Professor Greenline from BrightChamps

About BrightChamps in Saudi Arabia

At BrightChamps, we understand math questions are more than just figures—they’re opportunities waiting to be unlocked! We’re committed to helping children all across Saudi Arabia build vital math skills, focusing today on the 1.666666666666 as a Fraction with a special focus on fraction conversions—in a lively, enjoyable, and easy-to-follow way. Whether your child is figuring out how fast a roller coaster moves through Riyadh’s Al Hokair Land, keeping score at a local football match, or managing their allowance for the latest gadgets, mastering math questions helps build confidence for everyday life. Our interactive lessons keep learning both straightforward and fun. Since children in Saudi Arabia learn differently, we tailor our methods to each child’s style. From the vibrant streets of Riyadh to the historic sites of Jeddah, BrightChamps brings math to life, making it relevant and exciting throughout Saudi Arabia. Let’s make fraction conversions an enjoyable part of every child’s math journey!
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