0.11111111111 as a Fraction

Answer:

The answer for 0.11111111111 as a fraction is 1/9.

Explanation:

Converting a repeating 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: Let x = 0.11111111111...

Step 2: Multiply both sides by 10 to shift the decimal point: 10x = 1.11111111111...

Step 3: Subtract the original equation (Step 1) from this new equation (Step 2) to eliminate the repeating part: 10x - x = 1.11111111111... - 0.11111111111... 9x = 1

Step 4: Solve for x by dividing both sides by 9: x = 1/9 Thus, 0.11111111111 can be written as the 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 a digit or sequence of digits repeats infinitely.