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115 LearnersLast updated on March 6th, 2025
0.11111 as a Fraction
Numbers can be categorized into different types. 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, 0.11111, we are going to learn how to convert a decimal to a fraction.
What is 0.11111 as a Fraction?
Answer
The answer for 0.11111 as a fraction is 1/9.
Explanation
Converting a repeating decimal to a fraction is a task that can be accomplished with a few steps. You can follow the steps mentioned below to find the answer.
Step 1: Let x equal the repeating decimal: x = 0.11111...
Step 2: Multiply both sides by 10 to shift the decimal point: 10x = 1.11111...
Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 1.11111... - 0.11111... 9x = 1
Step 4: Solve for x: x = 1/9
Thus, 0.11111 can be written as a fraction 1/9.
Important Glossaries for 0.11111 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 one or more digits repeat infinitely.
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