0.1666666666 as a Fraction

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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. 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, 0.1666666666, we are going to learn how to convert a decimal to a fraction.

What is 0.1666666666 as a Fraction?

$0.1666666666 as a fraction$ Answer

The answer for 0.1666666666 as a fraction will be 1/6.

Explanation

Converting a repeating 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: Let x be the repeating decimal. Here, x = 0.1666666666...

Step 2: Multiply x by a power of 10 to shift the decimal point to the right, so it aligns with the repeating part. In this case, multiply by 10: 10x = 1.666666666...

Step 3: Subtract the original number (x) from this new equation to eliminate the repeating part: 10x - x = 1.666666666... - 0.1666666666... 9x = 1.5

Step 4: Solve for x by dividing both sides by 9: x = 1.5 / 9

Step 5: Simplify the fraction: 1.5 / 9 = 3/18 = 1/6

Thus, 0.1666666666 can be written as the fraction 1/6.

Important Glossaries for 0.1666666666 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Repeating Decimal: A decimal that has one or more repeating digits or a repeating sequence of digits that continues 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.
Simplification: The process of reducing a fraction to its simplest form.