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120 LearnersLast updated on March 6th, 2025
6.66666666667 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. Fractions represent 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, 6.66666666667. We are going to learn how to convert a repeating decimal to a fraction.
What is 6.66666666667 as a Fraction?
Answer
The answer for 6.66666666667 as a fraction is approximately 20/3.
Explanation
Converting a repeating decimal to a fraction involves some straightforward steps. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 6.66666666667. Since the decimal repeats, we multiply by 10 to shift the repeating part: 10x = 66.6666666667.
Step 2: Subtract the original x from this equation to eliminate the repeating part: 10x - x = 66.6666666667 - 6.66666666667.
Step 3: This results in 9x = 60, which simplifies to x = 60/9.
Step 4: Simplify the fraction by finding the GCD of 60 and 9, which is 3. Divide both the numerator and the denominator by 3 to get 20/3.
Thus, 6.66666666667 can be written approximately as a fraction 20/3.
Important Glossaries for 6.66666666667 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 sequence 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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