0.6666666 as a Fraction

Answer

The answer for 0.6666666 as a fraction is 2/3.

Explanation

Converting a repeating decimal to a fraction can be done with a few steps. Follow the steps below to find the answer.

Step 1: Let x = 0.6666666...

Step 2: To eliminate the repeating decimal, multiply both sides by 10 to shift the decimal point one place to the right. 10x = 6.6666666...

Step 3: Subtract the original equation (Step 1) from this new equation (Step 2): 10x - x = 6.6666666... - 0.6666666... 9x = 6

Step 4: Solve for x by dividing both sides by 9: x = 6/9

Step 5: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3: 6/9 = 2/3

Thus, 0.6666666 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 uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Repeating Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.
   
• 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.