1.1111111 as a Fraction

Answer

The answer for 1.1111111 as a fraction will be 10/9.

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 decimal. Here, 1.1111111 has the repeating digit "1".

Step 2: Let x = 1.1111111. Multiply both sides by 10 to shift the decimal point: 10x = 11.1111111.

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 11.1111111 - 1.1111111 9x = 10

Step 4: Solve for x by dividing both sides by 9: x = 10/9

Thus, 1.1111111 can be written as a fraction 10/9.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Repeating Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.
   
• 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.
   
• Non-Terminating Decimal: A decimal that continues without ending and may have a repeating sequence.