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Last updated on August 5, 2025

0.916666667 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, 0.916666667, we are going to learn how to convert a decimal to a fraction.

0.916666667 as a Fraction for US Students
Professor Greenline from BrightChamps

What is 0.916666667 as a Fraction?

0.916666667 as a fractionAnswer

 

The answer for 0.916666667 as a fraction will be 11/12.
 

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, identify that 0.916666667 is a repeating decimal. The repeating part is 6. Let's express 0.916666667 as a fraction.

 

Step 2: Let x = 0.916666667... Multiply by 10 to shift the decimal point: 10x = 9.16666667...

 

Step 3: Subtract x from 10x to eliminate the repeating decimal: 10x - x = 9.16666667... - 0.91666667... 9x = 8.25

 

Step 4: Solve for x by dividing both sides by 9: x = 8.25/9

 

Step 5: Convert 8.25 to a fraction: 8.25 = 33/4 Now, we have: x = (33/4) / 9 = 33/36

 

Step 6: Simplify the fraction by finding the GCD of 33 and 36, which is 3: 33/36 = 11/12 Hence, 0.916666667 is in the form of the fraction 11/12.

 

Thus, 0.916666667 can be written as a fraction 11/12.

Professor Greenline from BrightChamps

Important Glossaries for 0.916666667 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.
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