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Last updated on August 5, 2025

0.96666666666 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, 0.96666666666, we are going to learn how to convert a decimal to a fraction.

0.96666666666 as a Fraction for US Students
Professor Greenline from BrightChamps

What is 0.96666666666 as a Fraction?

0.96666666666 as a fraction

 

 

 

Answer

The answer for 0.96666666666 as a fraction will be 29/30.

 

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 x. Let x = 0.96666666666...

 

Step 2: Multiply x by 10 to shift the decimal point to the right by one place, such that 10x = 9.6666666666...

 

Step 3: Subtract the original x from this new equation: 10x - x = 9.6666666666... - 0.96666666666... This simplifies to: 9x = 8.7

 

Step 4: Solve for x by dividing both sides by 9: x = 8.7 / 9

 

Step 5: To eliminate the decimal in the fraction, multiply the numerator and denominator by 10: 8.7/9 × 10/10 = 87/90

 

Step 6: Simplify the fraction by finding the GCD of 87 and 90, which is 3, and divide both the numerator and denominator by this GCD: 87/90 = 29/30

 

Thus, 0.96666666666 can be written as a fraction 29/30.

Professor Greenline from BrightChamps

Important Glossaries for 0.96666666666 as a Fraction

  • Fraction: A numerical quantity representing a part of a whole, expressed in the form p/q where p is the numerator and q is the denominator.

 

  • Decimal: A number that includes a decimal point to separate the whole part from the fractional part, often representing fractions in base ten.

 

  • Numerator: The top part of a fraction, indicating how many parts of a whole are considered.

 

  • Denominator: The bottom part of a fraction, showing how many parts make up the whole.

 

  • Repeating Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.
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