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121 LearnersLast updated on March 5th, 2025
0.11111111111 as a Fraction
Numbers can be categorized into different types. A fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A 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, 0.11111111111, we are going to learn how to convert a repeating decimal to a fraction.
What is 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.
Important Glossaries for 0.11111111111 as a Fraction
- 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.
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