0.1666666666 as a Fraction

Answer

The answer for 0.1666666666 as a fraction will be 1/6.

Explanation

Converting a repeating 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: Let x be the repeating decimal. Here, x = 0.1666666666...

Step 2: Multiply x by a power of 10 to shift the decimal point to the right, so it aligns with the repeating part. In this case, multiply by 10: 10x = 1.666666666...

Step 3: Subtract the original number (x) from this new equation to eliminate the repeating part: 10x - x = 1.666666666... - 0.1666666666... 9x = 1.5

Step 4: Solve for x by dividing both sides by 9: x = 1.5 / 9

Step 5: Simplify the fraction: 1.5 / 9 = 3/18 = 1/6

Thus, 0.1666666666 can be written as the fraction 1/6.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Repeating Decimal: A decimal that has one or more repeating digits or a repeating sequence of digits that continues 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.
   
• Simplification: The process of reducing a fraction to its simplest form.