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121 LearnersLast updated on March 5th, 2025
0.666666667 as a Fraction
Numbers can be categorized into different types. 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, 0.666666667, we are going to learn how to convert a decimal to a fraction.
What is 0.666666667 as a Fraction?
Answer:
The answer for 0.666666667 as a fraction is approximately 2/3.
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 decimal number should be converted to a fraction for easy calculation. Here, 0.666666667 is the number on the numerator and the base number 1 will be the denominator. Then, 0.666666667 becomes 0.666666667/1.
Step 2: Recognize that 0.666666667 is a repeating decimal of 0.666... (with 6 repeating infinitely). This is equivalent to 2/3.
Step 3: To verify, set x = 0.666666667. Multiply both sides by 10 to shift the decimal point: 10x = 6.66666667. Subtract the original x from this equation: 10x - x = 6.66666667 - 0.666666667, resulting in 9x = 6. Simplifying gives x = 6/9, which reduces to 2/3.
Thus, 0.666666667 can be written approximately as a fraction of 2/3.
Important Glossaries for 0.666666667 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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