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111 LearnersLast updated on March 7th, 2025
0.1666666 as a Fraction
Numbers can be categorized into different types. A fraction is one such type. 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. Numbers in decimal form are expressed with a decimal point (.), for example, 0.1666666. We are going to learn how to convert a decimal to a fraction.
What is 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.
Important Glossaries for 0.1666666 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.
- 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.
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