0.166666 as a Fraction

Answer

The answer for 0.166666 as a fraction is 1/6.

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: Firstly, any repeating decimal should be expressed as a fraction for easy calculation. Here, 0.166666... is a repeating decimal. Let x = 0.166666...

Step 2: To eliminate the repeating part, multiply both sides by 10 to shift the decimal point. 10x = 1.66666...

Step 3: Subtract the initial equation from this result to eliminate the repeating decimal part. 10x - x = 1.66666... - 0.166666... 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. Convert 1.5 to a fraction (3/2), so the equation becomes: (3/2)/9 = 3/18 = 1/6

Thus, 0.166666... can be written as the 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.