123 LearnersLast updated on May 29th, 2025
1.1111111 as a Fraction
Numbers can be categorized into different types. A fraction is one of its kinds and 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. Numbers in decimal form are expressed with a decimal point (.), for example, 1.1111111. We are going to learn how to convert a decimal to a fraction.
What is 1.1111111 as a Fraction?
![1.1111111 as a fraction]()
Answer
Answer
The answer for 1.1111111 as a fraction will be 10/9.
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 the repeating decimal. Here, 1.1111111 has the repeating digit "1".
Step 2: Let x = 1.1111111. Multiply both sides by 10 to shift the decimal point: 10x = 11.1111111.
Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 11.1111111 - 1.1111111 9x = 10
Step 4: Solve for x by dividing both sides by 9: x = 10/9
Thus, 1.1111111 can be written as a fraction 10/9.
Important Glossaries for 1.1111111 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Repeating Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.
- 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 continues without ending and may have a repeating sequence.
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