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110 LearnersLast updated on March 7th, 2025
2.22222222222 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, 2.22222222222. We are going to learn how to convert a decimal to a fraction.
What is 2.22222222222 as a Fraction?
Answer
The answer for 2.22222222222 as a fraction will be 20/9.
Explanation
Converting a repeating decimal to a fraction can be done through a systematic approach. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 2.22222222222...
Step 2: Identify the repeating part. Here, the digit 2 repeats.
Step 3: Multiply x by 10 to shift one complete cycle of the repeating part: 10x = 22.22222222222...
Step 4: Subtract the original equation (x = 2.22222222222...) from this new equation: 10x - x = 22.22222222222... - 2.22222222222... 9x = 20
Step 5: Solve for x: x = 20/9
Thus, 2.22222222222 can be written as the fraction 20/9.
Important Glossaries for 2.22222222222 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 fraction in which a figure or group of figures is repeated indefinitely.
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