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114 LearnersLast updated on March 26th, 2025
0.166666666 as a Fraction
Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 0.166666666, we are going to learn how to convert a decimal to a fraction.
What is 0.166666666 as a Fraction?
Answer
The answer for 0.166666666 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, the repeating decimal 0.166666666 can be rewritten as 0.1(6) to indicate that the digit 6 is repeating. Let x = 0.166666666...
Step 2: Multiply both sides by 10 to shift the decimal point: 10x = 1.666666666...
Step 3: Subtract the original equation (x = 0.166666666...) from this result: 10x - x = 1.666666666... - 0.166666666...
Step 4: This simplifies to: 9x = 1.5
Step 5: Solve for x by dividing by 9: x = 1.5/9 = 3/18
Step 6: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 3: 3/18 = 1/6
Thus, 0.166666666 can be written as a fraction 1/6.
Important Glossaries for 0.166666666 as a Fraction
- 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 fraction 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.
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