0.16666666666 as a Fraction

Answer

The answer for 0.16666666666 as a fraction is 1/6.

Explanation

Converting a repeating decimal to a fraction involves some careful steps. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 0.16666666666...

Step 2: Since the decimal repeats every 6, multiply both sides of the equation by 10 to move the decimal point one position to the right: 10x = 1.66666666666...

Step 3: Subtract the equation in Step 1 from the equation in Step 2: 10x - x = 1.66666666666... - 0.16666666666... 9x = 1.5 Step 4: Solve for x: x = 1.5/9 = 1/6

Thus, 0.16666666666 can be written as a fraction 1/6.

• 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.