11.1111111111 as a Fraction

Answer

The answer for 11.1111111111 as a fraction will be 100/9.

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, 11.1111111111 has a repeating "1".

Step 2: Let x = 11.1111111111...

Step 3: Multiply both sides by 10 to shift the decimal point: 10x = 111.1111111111...

Step 4: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 111.1111111111... - 11.1111111111... 9x = 100

Step 5: Solve for x: x = 100/9

Thus, 11.1111111111 can be written as the fraction 100/9.

• 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.