0.6666666667 as a Fraction

Answer

The answer for 0.6666666667 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: Recognize that 0.6666666667 is a repeating decimal. The repeating digit here is 6.

Step 2: To convert the repeating decimal to a fraction, let's denote the repeating decimal part as x. Since the repeating sequence is a single digit (6), we can write this as x = 0.6666666667, and 10x = 6.666666667.

Step 3: Subtract the first equation from the second: 10x - x = 6.666666667 - 0.6666666667 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 GCD, which is 3: 6/9 = 2/3

Thus, 0.6666666667 can be approximated as the 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.
   
• 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 a digit or group of digits repeats infinitely.