0.66666666666667 as a Fraction

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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, 0.66666666666667, we are going to learn how to convert a decimal to a fraction.

What is 0.66666666666667 as a Fraction?

$0.66666666666667 as a fraction$

Answer

The answer for 0.66666666666667 as a fraction will be 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 repeating decimal number should be expressed as a fraction. Here, 0.66666666666667 is approximately 0.6666... (repeating) which can be represented as 0.6̅.

Step 2: Let x = 0.6̅, then 10x = 6.6̅. Subtract these two equations: 10x - x = 6.6̅ - 0.6̅ 9x = 6

Step 3: Solve for x by dividing both sides by 9. x = 6/9

Step 4: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3. 6/9 = 2/3

Thus, 0.66666666666667 can be written as a fraction 2/3.

Important Glossaries for 0.66666666666667 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that 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.