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Last updated on August 5, 2025

1.1666666 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. A 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, 1.1666666, we are going to learn how to convert a decimal to a fraction.

1.1666666 as a Fraction for US Students
Professor Greenline from BrightChamps

What is 1.1666666 as a Fraction?

1.1666666 as a fraction

Answer

 

The answer for 1.1666666 as a fraction will be 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: Firstly, express the repeating decimal as a fraction. Let x = 1.1666666...

 

Step 2: Multiply by 10 to shift the decimal point for the repeating part: 10x = 11.6666666...

 

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 11.6666666... - 1.1666666... 9x = 10.5

 

Step 4: Solve for x: x = 10.5/9

 

Step 5: Simplify the fraction by multiplying by 2 to eliminate the decimal: x = 21/18

 

Step 6: Simplify further by dividing both numerator and denominator by their GCD, which is 3: x = 7/6

 

Thus, 1.1666666 can be written as a fraction 7/6.

Professor Greenline from BrightChamps

Important Glossaries for 1.1666666 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.

 

  • 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.

 

  • Repeating Decimal: A decimal that has one or more repeating numbers or sequences of numbers after the decimal point.
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