0.27272727 as a Fraction

Answer

The answer for 0.27272727 as a fraction will be 3/11.

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 the repeating part of the decimal. Here, 0.27272727 has a repeating part of 27.

Step 2: Let x = 0.27272727...

Step 3: Multiply both sides of the equation by 100 (since the repeating part has 2 digits): 100x = 27.27272727...

Step 4: Subtract the original equation from this new equation: 100x - x = 27.27272727... - 0.27272727...

Step 5: Simplify to get: 99x = 27

Step 6: Solve for x by dividing both sides by 99: x = 27/99

Step 7: Simplify the fraction by dividing the numerator and denominator by their GCD, which is 9: 27/99 = 3/11

Thus, 0.27272727 can be written as a fraction 3/11.

• 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.
   
• 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.