0.16666666 as a Fraction

Answer

The answer for 0.16666666 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, 0.16666666 is the number on the numerator and the base number 1 will be the denominator. Then, 0.16666666 becomes 0.16666666/1.

Step 2: Recognize that this is a repeating decimal. The repeating part is 6. To convert the repeating decimal to a fraction, consider the number as 0.16̅ which is 0.16666666...

Step 3: Let x = 0.16̅. Then, 10x = 1.6̅. Subtracting these equations: 10x - x = 1.6̅ - 0.16̅ 9x = 1.5 x = 1.5/9

Step 4: Simplify the fraction by dividing both the numerator and the denominator by 1.5: 1.5/9 = 1/6

Thus, 0.16666666 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.
   
• 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.
   
• Repeating Decimal: A decimal with digits that repeat infinitely.