0.166666666666667 as a Fraction

Answer:

The answer for 0.166666666666667 as a fraction will be 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 decimal number should be converted to a fraction for easy calculation. Here, 0.166666666666667 is the number on the numerator, and the base number 1 will be the denominator. Then, 0.166666666666667 becomes 0.166666666666667/1.

Step 2: Since 0.166666666666667 is a repeating decimal, recognize the repeating part. In this case, the repeating part is '6'. To convert this to a fraction, we can express it as a geometric series or use an algebraic method. For simplicity, we can set x = 0.166666666666667, then 10x = 1.66666666666667, and subtract the first equation from the second: 10x - x = 1.5, which simplifies to 9x = 1.5.

Step 3: Solving for x gives x = 1.5/9 = 1/6. Therefore, 0.166666666666667 is in the form of the fraction 1/6.

Thus, 0.166666666666667 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 one or more digits repeat 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.