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112 LearnersLast updated on March 7th, 2025
0.66666666667 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, 0.66666666667, we are going to learn how to convert a decimal to a fraction.
What is 0.66666666667 as a Fraction?
Answer
The answer for 0.66666666667 as a fraction is approximately 2/3.
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: Identify the repeating part of the decimal. In 0.66666666667, the repeating part is '6'.
Step 2: Let x = 0.66666666667. Multiply both sides by 10 to shift the decimal point one position to the right: 10x = 6.66666666667.
Step 3: Subtract the original equation (x = 0.66666666667...) from this new equation: 10x - x = 6.66666666667 - 0.66666666667.9x = 6
Step 4: Solve for x: x = 6/9 Step 5: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 3: 6/9 = 2/3
Thus, 0.66666666667 can be approximated as a fraction 2/3.
Important Glossaries for 0.66666666667 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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