0.16666666666 as a Fraction

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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, 0.16666666666. We are going to learn how to convert a decimal to a fraction.

What is 0.16666666666 as a Fraction?

$0.16666666666 as a fraction$

Answer

The answer for 0.16666666666 as a fraction is 1/6.

Explanation

Converting a repeating decimal to a fraction involves some careful steps. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 0.16666666666...

Step 2: Since the decimal repeats every 6, multiply both sides of the equation by 10 to move the decimal point one position to the right: 10x = 1.66666666666...

Step 3: Subtract the equation in Step 1 from the equation in Step 2: 10x - x = 1.66666666666... - 0.16666666666... 9x = 1.5 Step 4: Solve for x: x = 1.5/9 = 1/6

Thus, 0.16666666666 can be written as a fraction 1/6.

Important Glossaries for 0.16666666666 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 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.