127 LearnersLast updated on May 29th, 2025
1.111111 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, 1.111111, we are going to learn how to convert a decimal to a fraction.
What is 1.111111 as a Fraction?
![1.111111 as a fraction]()
Answer
Answer
The answer for 1.111111 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: Firstly, any repeating decimal number should be converted to fraction for easy calculation. Here, 1.111111... is the number. Let's denote x = 1.111111...
Step 2: Multiply both sides by 10 to shift the decimal point one place to the right: 10x = 11.111111...
Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 11.111111... - 1.111111... 9x = 10 Step 4: Solve for x by dividing both sides by 9: x = 10/9
Thus, 1.111111 can be written as a fraction 10/9.
Important Glossaries for 1.111111 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 sequence of digits repeats infinitely.
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