6.66666 as a Fraction

Answer

The answer for 6.66666 as a fraction will be 20/3.

Explanation

Converting a repeating decimal to a fraction can be done by following these steps:

Step 1: Let x = 6.66666...

Step 2: Multiply both sides by 10 to eliminate the repeating part to the right of the decimal. 10x = 66.66666...

Step 3: Subtract the original equation (Step 1) from the equation in Step 2. 10x - x = 66.66666... - 6.66666... 9x = 60

Step 4: Solve for x by dividing both sides by 9. x = 60/9 Step 5: Simplify the fraction by finding the GCD of 60 and 9, which is 3. Divide both the numerator and the denominator by 3. 60/9 = 20/3

Thus, 6.66666 can be written as a fraction 20/3.

• 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 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.