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110 LearnersLast updated on March 10th, 2025
1.11111111111 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, 1.11111111111. We are going to learn how to convert a decimal to a fraction.
What is 1.11111111111 as a Fraction?
Answer
The answer for 1.11111111111 as a fraction will be 10/9.
Explanation
Converting a decimal to a fraction can be done easily by following a few steps.
Step 1: Identify the repeating part of the decimal. Here, 1.11111111111 has the repeating decimal 1.
Step 2: Let x = 1.11111111111. Multiply both sides by 10 (since the repeating part is one digit) to shift the decimal point. 10x = 11.11111111111
Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 11.11111111111 - 1.11111111111 9x = 10
Step 4: Solve for x by dividing both sides by 9: x = 10/9
Thus, 1.11111111111 can be written as a fraction 10/9.
Important Glossaries for 1.11111111111 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.
- Repeating Decimal: A decimal fraction in which a digit or group of digits repeats 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.
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