0.1666666 as a Fraction

Answer

The answer for 0.1666666 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: First, any decimal number should be converted to a fraction for easy calculation. Here, 0.1666666 is the number on the numerator, and the base number 1 will be the denominator. Then, 0.1666666 becomes 0.1666666/1.

Step 2: Since 0.1666666 is a repeating decimal, we can represent it as 0.1(6), where (6) is the repeating part.

Step 3: To convert the repeating decimal to a fraction, express it as: x = 0.1666666... 10x = 1.666666... Subtracting these equations, we get: 10x - x = 1.666666... - 0.166666... 9x = 1.5 x = 1.5/9 = 1/6

Therefore, 0.1666666 as a fraction is 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 in which a digit or group of digits repeats infinitely.