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114 LearnersLast updated on March 9th, 2025
0.6666666666666667 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, 0.6666666666666667. We are going to learn how to convert a decimal to a fraction.
What is 0.6666666666666667 as a Fraction?
Answer
The answer for 0.6666666666666667 as a fraction will be 2/3.
Explanation
Converting a repeating decimal to a fraction can be done by using algebraic methods. Follow the steps below to find the answer.
Step 1: Let x equal the repeating decimal: x = 0.6666666666666667...
Step 2: Multiply both sides of the equation by 10 to shift the decimal point: 10x = 6.666666666666667...
Step 3: Subtract the original equation (Step 1) from this new equation (Step 2): 10x - x = 6.666666666666667 - 0.666666666666667 9x = 6
Step 4: Solve for x by dividing both sides by 9: x = 6/9
Step 5: Simplify the fraction by finding the GCD of 6 and 9, which is 3: 6/9 = 2/3
Thus, 0.6666666666666667 can be written as a fraction 2/3.
Important Glossaries for 0.6666666666666667 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.
- 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.
- Repeating Decimal: A decimal in which one or more digits repeat infinitely.
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