0.90909 as a Fraction

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Numbers can be categorized into different types. A fraction is one of its kinds. 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, 0.90909. We are going to learn how to convert a decimal to a fraction.

What is 0.90909 as a Fraction?

$0.90909 as a fraction$

Answer

The answer for 0.90909 as a fraction is 10/11.

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: Identify that 0.90909 is a repeating decimal. Here, 0.90909 is the number we want to convert. Let x = 0.90909...

Step 2: Multiply both sides of the equation by 100, as the repeating part has two digits. This gives us 100x = 90.90909...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 100x = 90.90909... - x = 0.90909... 99x = 90

Step 4: Divide both sides by 99 to solve for x: x = 90/99

Step 5: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 9: 90/99 = 10/11

Thus, 0.90909 can be written as a fraction 10/11.

Important Glossaries for 0.90909 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 a group of digits repeats infinitely.