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113 LearnersLast updated on March 6th, 2025
2.66666667 as a Fraction
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, 2.66666667, we are going to learn how to convert a decimal to a fraction.
What is 2.66666667 as a Fraction?
Answer
The answer for 2.66666667 as a fraction will be 8/3.
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, any repeating decimal number should be converted to a fraction for easy calculation. Here, 2.66666667 represents a repeating decimal, which can be considered as 2.6̅.
Step 2: Let x = 2.6̅. Multiply both sides by 10 to shift the decimal point: 10x = 26.6̅.
Step 3: Subtract the original x from this equation: 10x - x = 26.6̅ - 2.6̅, resulting in 9x = 24.
Step 4: Divide both sides by 9 to solve for x: x = 24/9.
Step 5: Simplify the fraction: 24/9 = 8/3.
Thus, 2.66666667 can be written as a fraction 8/3.
Important Glossaries for 2.66666667 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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