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125 LearnersLast updated on March 10th, 2025
0.11111111111111 as a Fraction
Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 0.11111111111111, we are going to learn how to convert a decimal to a fraction.
What is 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.
Important Glossaries for 0.11111111111111 as a Fraction
- 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.
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