20.66666666667 as a Fraction

Answer

The answer for 20.66666666667 as a fraction is 62/3.

Explanation

Converting a repeating decimal to a fraction can seem complex, but it can be achieved by following these steps:

Step 1: Let x = 20.66666666667 (where the '6' repeats infinitely).

Step 2: Multiply both sides of the equation by 10 to move the decimal point one place: 10x = 206.6666666667

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 206.6666666667 - 20.66666666667 9x = 186

Step 4: Solve for x by dividing both sides by 9: x = 186/9

Step 5: Simplify the fraction: 186/9 = 62/3

Thus, 20.66666666667 can be written as a fraction 62/3.

• 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.