0.16666666666666666 as a Fraction

Professor Greenline Explaining Math Concepts

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, 0.16666666666666666. We are going to learn how to convert a decimal to a fraction.

0.16666666666666666 as a Fraction for US Students

What is 0.16666666666666666 as a Fraction?

$0.16666666666666666 as a fraction$ Answer

The answer for 0.16666666666666666 as a fraction is 1/6.

Explanation

Converting a repeating decimal to a fraction is straightforward. You can follow the steps mentioned below to find the answer.

Step 1: Let x equal the repeating decimal number. Here, x = 0.16666666666666666...

Step 2: Multiply x by 10 to move the decimal point one place to the right, since the repeating part is a single digit. 10x = 1.6666666666666666...

Step 3: Subtract the original equation (x = 0.16666666666666666...) from this new equation. 10x - x = 1.6666666666666666... - 0.16666666666666666... 9x = 1.5

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

Step 5: Simplify the fraction by multiplying the numerator and the denominator by 2 to eliminate the decimal. x = (1.5*2)/(9*2) = 3/18 = 1/6

Thus, 0.16666666666666666 can be written as the fraction 1/6.

Important Glossaries for 0.16666666666666666 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 that has one or more repeating digits after the decimal point indefinitely.
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.