130 LearnersLast updated on May 29th, 2025
2.66666 as a Fraction
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, 2.66666, we are going to learn how to convert a decimal to a fraction.
What is 2.66666 as a Fraction?
![2.66666 as a fraction]()
Answer
Answer
The answer for 2.66666 as a fraction will be 8/3.
Explanation
Converting a repeating decimal to a fraction involves a few steps. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 2.66666..., which is a repeating decimal. In this case, 6 is the repeating digit.
Step 2: Multiply both sides of the equation by 10 to move the decimal point one place to the right: 10x = 26.66666...
Step 3: Subtract the original equation (x = 2.66666...) from this new equation (10x = 26.66666...) to eliminate the repeating part: 10x - x = 26.66666... - 2.66666...
Step 4: Simplify the equation: 9x = 24
Step 5: Solve for x by dividing both sides by 9: x = 24/9
Step 6: Simplify the fraction by dividing both the numerator and denominator by their GCD, which is 3: 24/9 = 8/3
Thus, 2.66666 can be written as a fraction 8/3.
Important Glossaries for 2.66666 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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