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Last updated on May 26th, 2025

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1.3333333333 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. Fractions are one such category. They are 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, 1.3333333333. We are going to learn how to convert a repeating decimal to a fraction.

1.3333333333 as a Fraction for Omani Students
Professor Greenline from BrightChamps

What is 1.3333333333 as a Fraction?

1.3333333333 as a fractionAnswer

 

The answer for 1.3333333333 as a fraction is 4/3.

 

Explanation

 

Converting a repeating decimal to a fraction can be done systematically. Follow the steps mentioned below to find the answer.

 

Step 1: Let x = 1.3333333333...

 

Step 2: Multiply both sides by 10 to shift the decimal point one place to the right. 10x = 13.3333333333...

 

Step 3: Subtract the original equation (x = 1.3333333333...) from this new equation (10x = 13.3333333333...). 10x - x = 13.3333333333... - 1.3333333333... 9x = 12

 

Step 4: Solve for x by dividing both sides by 9. x = 12/9

 

Step 5: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 3. 12/9 = 4/3

 

Thus, 1.3333333333 can be written as a fraction 4/3.

Professor Greenline from BrightChamps

Important Glossaries for 1.3333333333 as a Fraction

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
     
  • Repeating Decimal: A decimal in which a digit or group of digits repeats indefinitely.
     
  • 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 positive integer that divides each of the integers in a set without leaving a remainder.
Professor Greenline from BrightChamps

About BrightChamps in Oman

At BrightChamps, we understand math questions are more than just numbers—they’re pathways to endless opportunities! Our mission is to help kids all across Oman develop vital math skills, focusing today on the 1.3333333333 as a Fraction with a special focus on fraction conversions—in a fun, lively, and easy-to-grasp way. Whether your child is figuring out how fast a roller coaster moves through Oman’s Dreamland Aqua Park, keeping score at a local football match, or managing their allowance for the latest gadgets, strong math skills build the confidence needed for everyday challenges. Our interactive lessons make learning both straightforward and enjoyable. Since kids in Oman learn differently, we tailor our approach to each child’s unique style. From Muscat’s vibrant city life to its beautiful natural landscapes, BrightChamps brings math to life, making it relatable and exciting throughout Oman. Let’s make fraction conversions a fun part of every child’s math journey!
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