0.92307692307 as a Fraction

Answer

The answer for 0.92307692307 as a fraction is 12/13.

Explanation

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

Step 1: Let x = 0.92307692307...

Step 2: Multiply x by a power of 10 to move the decimal point right past the repeating part. Here, multiply by 100000000000: 100000000000x = 92307692307.692307...

Step 3: Subtract the original x from this result: 100000000000x - x = 92307692307.692307... - 0.92307692307...

Step 4: This gives: 99999999999x = 92307692306.7692307

Step 5: Solve for x: x = 92307692306.7692307 / 99999999999

Step 6: Simplify the fraction: x = 12/13

Thus, 0.92307692307 can be written as a fraction 12/13.

• 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.