0.81818 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. 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, 0.81818, we are going to learn how to convert a decimal to a fraction.

What is 0.81818 as a Fraction?

$0.81818 as a fraction$

Answer

The answer for 0.81818 as a fraction will be 9/11.

Explanation

Converting a decimal to a fraction can be straightforward. You can follow the steps below to find the answer.

Step 1: Recognize that 0.81818 is a repeating decimal with the repeating part "81818". Let x = 0.81818...

Step 2: Multiply x by 100000 (since the repeating part is five digits long) to shift the decimal point: 100000x = 81818.1818...

Step 3: Subtract the original equation (x = 0.81818...) from this new equation: 100000x - x = 81818.1818... - 0.81818... 99999x = 81818

Step 4: Solve for x by dividing both sides by 99999: x = 81818/99999

Step 5: Simplify the fraction by finding the greatest common divisor (GCD) of 81818 and 99999, which is 9091, and divide both by this number: 81818/99999 = 9/11

Thus, 0.81818 can be written as a fraction 9/11.

Important Glossaries for 0.81818 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.