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121 LearnersLast updated on March 11th, 2025
0.16666 as a Fraction
Numbers can be categorized into different types. A fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A 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, 0.16666. We are going to learn how to convert a decimal to a fraction.
What is 0.16666 as a Fraction?
Answer
The answer for 0.16666 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, 0.16666 (with repeating 6) is the number.
Step 2: Let x = 0.16666... Since the decimal repeats every 5 digits, multiply by 100000 to shift the decimal point to the right: 100000x = 16666.666...
Step 3: Subtract the original equation (x = 0.16666...) from this new equation: 100000x - x = 16666.666... - 0.16666...
Step 4: This gives 99999x = 16666.5. Solving this gives x = 16666.5 / 99999.
Step 5: Simplify the fraction: After simplification, x = 1/6.
Thus, 0.16666... can be written as the fraction 1/6.
Important Glossaries for 0.16666 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that 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.
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