0.11111111111111 as a Fraction

Answer:

The answer for 0.11111111111111 as a fraction will be 1/9.

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 that 0.11111111111111 is a repeating decimal. It can be represented as 0.1̅, where the digit 1 repeats indefinitely.

Step 2: Let x = 0.1̅. Then, multiply both sides by 10 to shift the decimal point: 10x = 1.1̅.

Step 3: Subtract the original equation from this new equation: 10x - x = 1.1̅ - 0.1̅ 9x = 1

Step 4: Solve for x by dividing both sides by 9: x = 1/9

Hence, 0.11111111111111 can be written as the fraction 1/9.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Repeating Decimal: A decimal in which one or more digits repeat 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.

• Non-Terminating Decimal: A decimal that goes on infinitely without ending.