BrightChamps Logo
Login

Summarize this article:

Live Math Learners Count Icon187 Learners

Last updated on August 5, 2025

1.26666666667 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. Fractions are one such type. They are 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 express the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 1.26666666667, we are going to learn how to convert a decimal to a fraction.

1.26666666667 as a Fraction for US Students
Professor Greenline from BrightChamps

What is 1.26666666667 as a Fraction?

1.26666666667 as a fraction

 

Answer

 

The answer for 1.26666666667 as a fraction will be 19/15.

 

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, 1.26666666667 can be split as 1 + 0.26666666667. We will focus on converting 0.26666666667 to a fraction.

 

Step 2: Notice that 0.26666666667 is a repeating decimal. Let x = 0.26666666667. Multiply both sides by 10 to shift the decimal point: 10x = 2.6666666667.

 

Step 3: Multiply by 10 again to isolate the repeating part: 100x = 26.666666667.

 

Step 4: Subtract the first equation from the second: 100x - 10x = 26.666666667 - 2.666666667 90x = 24 x = 24/90 x = 4/15 after simplifying.

 

Step 5: Now combine with the whole number part: 1 + 4/15 = 15/15 + 4/15 = 19/15.

 

Thus, 1.26666666667 can be written as a fraction 19/15.

Professor Greenline from BrightChamps

Important Glossaries for 1.26666666667 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.
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
UAE - 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