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Last updated on August 5, 2025

1.1666666667 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one such type. 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 form are expressed with a decimal point (.), For example, 1.1666666667, we are going to learn how to convert a repeating decimal to a fraction.

1.1666666667 as a Fraction for US Students
Professor Greenline from BrightChamps

What is 1.1666666667 as a Fraction?

1.1666666667 as a fraction

 

 

 

Answer

The answer for 1.1666666667 as a fraction is 7/6.

 

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: Let's express 1.1666666667 as 1.16 with a repeating decimal notation (1.16̅). Here, 1.16̅ is the number, with 0.16̅ being the repeating part.

 

Step 2: Let x = 1.16̅. Multiply both sides by 100 to shift the repeating decimal: 100x = 116.6̅.

 

Step 3: Subtract the original equation from this new equation: 100x - x = 116.6̅ - 1.6̅, which simplifies to 99x = 115.

 

Step 4: Solve for x: x = 115/99, which simplifies to 7/6 after dividing both the numerator and denominator by the GCD, which is 11.

 

Thus, 1.1666666667 can be written as a fraction 7/6.

Professor Greenline from BrightChamps

Important Glossaries for 1.1666666667 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 that has one or more repeating digits after the decimal point 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.
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