0.11111 as a Fraction

Answer

The answer for 0.11111 as a fraction is 1/9.

Explanation

Converting a repeating decimal to a fraction is a task that can be accomplished with a few steps. You can follow the steps mentioned below to find the answer.

Step 1: Let x equal the repeating decimal: x = 0.11111...

Step 2: Multiply both sides by 10 to shift the decimal point: 10x = 1.11111...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 1.11111... - 0.11111... 9x = 1

Step 4: Solve for x: x = 1/9

Thus, 0.11111 can be written as a fraction 1/9.

• 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.
   
• 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 one or more digits repeat infinitely.