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102 LearnersLast updated on March 28th, 2025
0.27272727272 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, 0.27272727272. We are going to learn how to convert a decimal to a fraction.
What is 0.27272727272 as a Fraction?
Answer
The answer for 0.27272727272 as a fraction will be 3/11.
Explanation
Converting a repeating decimal to a fraction can be done by following these steps:
Step 1: Let x = 0.27272727272...
Step 2: Since the decimal repeats every 2 digits, multiply x by 100 to shift the repeating part: 100x = 27.27272727272...
Step 3: Subtract the original x from this equation to eliminate the repeating decimal: 100x - x = 27.27272727272... - 0.27272727272... 99x = 27
Step 4: Solve for x by dividing both sides by 99: x = 27/99
Step 5: Simplify the fraction 27/99. The GCD of 27 and 99 is 9, so divide the numerator and the denominator by 9: 27/99 = 3/11
Thus, 0.27272727272 can be written as the fraction 3/11.
Important Glossaries for 0.27272727272 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 pattern of one or more digits is repeated indefinitely.
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