BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon152 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

14.2857142857 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 14.2857142857, we are going to learn how to convert a decimal to a fraction.

14.2857142857 as a Fraction for Qatari Students
Professor Greenline from BrightChamps

What is 14.2857142857 as a Fraction?

14.2857142857 as a fraction

 

Answer:

 

The answer for 14.2857142857 as a fraction will be 100/7.

 

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, separate the whole number from the repeating decimal part. Here, we have 14 and 0.2857142857... (which is a repeating decimal) becomes 14 + 0.2857142857...

 

Step 2: To convert the repeating decimal 0.2857142857... into a fraction, recognize the repeating sequence as 285714. This sequence has 6 digits. Therefore, to remove the decimal, multiply the repeating part by 10^6 (or 1,000,000). Let x = 0.2857142857... Then, 1,000,000x = 285714.285714...

 

Step 3: Subtract the equation x = 0.2857142857... from the equation 1,000,000x = 285714.285714... 1,000,000x - x = 285714.285714... - 0.2857142857... 999,999x = 285714 x = 285714/999999

 

Step 4: Simplify the fraction 285714/999999 by finding the GCD. In this case, the GCD is 142857. 285714 ÷ 142857 / 999999 ÷ 142857 = 2/7

 

Step 5: Add the whole number part back to the fractional part. 14 + 2/7 = (14 × 7 + 2) / 7 = 100/7 Thus, 14.2857142857 can be written as a fraction 100/7.

Professor Greenline from BrightChamps

Important Glossaries for 14.2857142857 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 sequence 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 Qatar

At BrightChamps, we know math questions are more than just calculations—they open doors to countless opportunities! Our goal is to help children all across Qatar build essential math skills, focusing today on the 14.2857142857 as a Fraction with a special emphasis on fraction conversions—in an engaging, lively, and easy-to-follow way. Whether your child is figuring out how fast a roller coaster speeds through Qatar’s Angry Birds World, keeping track of scores at a local football match, or managing their allowance to buy the latest gadgets, mastering math questions boosts their confidence for everyday tasks. Our interactive lessons make learning simple and fun. Because children in Qatar learn in different ways, we customize our approach to each child’s style. From Doha’s modern cityscape to the desert landscapes, BrightChamps brings math to life, making it relatable and exciting throughout Qatar. Let’s make fraction conversions a delightful 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