BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon126 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

0.714285714 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one of its kinds. It 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 are expressed with a decimal point (.), such as 0.714285714. We are going to learn how to convert a decimal to a fraction.

0.714285714 as a Fraction for Omani Students
Professor Greenline from BrightChamps

What is 0.714285714 as a Fraction?

0.714285714 as a fraction

Answer

 

The answer for 0.714285714 as a fraction is 5/7.

 

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, recognize that 0.714285714 is a repeating decimal. Identify the repeating part, which is 714285.

 

Step 2: Let x = 0.714285714... Then, multiply both sides by 10^6 (since there are 6 repeating digits) to shift the decimal point to the right: 1,000,000x = 714285.714285...

 

Step 3: Subtract the original equation (x = 0.714285714...) from this new equation: 1,000,000x - x = 714285.714285... - 0.714285714... 999,999x = 714285

 

Step 4: Solve for x by dividing both sides by 999,999: x = 714285/999999

 

Step 5: Simplify the fraction by finding the greatest common divisor (GCD) of 714285 and 999999, which is 142857. Divide both the numerator and the denominator by 142857: 714285/999999 = 5/7

 

Thus, 0.714285714 can be written as a fraction 5/7.

Professor Greenline from BrightChamps

Important Glossaries for 0.714285714 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.
     
  • Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.
     
  • 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.
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 0.714285714 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!
INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom