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.

• 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.