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113 LearnersLast updated on March 7th, 2025
1.22222222222 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, 1.22222222222, we are going to learn how to convert a decimal to a fraction.
What is 1.22222222222 as a Fraction?
Answer:
The answer for 1.22222222222 as a fraction will be 11/9.
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 = 1.22222222222... (where 2 is repeating).
Step 2: Multiply x by 10 to move the decimal point to the right: 10x = 12.22222222222...
Step 3: Subtract the original equation (Step 1) from this new equation (Step 2) to eliminate the repeating part: 10x - x = 12.22222222222... - 1.22222222222... 9x = 11
Step 4: Solve for x by dividing both sides by 9: x = 11/9 Thus, 1.22222222222 can be written as a fraction 11/9.
Important Glossaries for 1.22222222222 as a Fraction
- Fraction: A numerical expression representing a part of a whole, using a numerator and a denominator.
- Decimal: A number that includes a decimal point to separate the whole part from the fractional part.
- Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.
- Numerator: The top part of a fraction, indicating the number of parts considered.
- Denominator: The bottom part of a fraction, showing the total number of equal parts in the whole.
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