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.

• 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.