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123 LearnersLast updated on March 7th, 2025
0.272727 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, 0.272727, we are going to learn how to convert a decimal to a fraction.
What is 0.272727 as a Fraction?
Answer:
The answer for 0.272727 as a fraction will be 3/11.
Explanation:
Converting a repeating decimal to a fraction is a task for students that can be done with clarity. You can follow the steps mentioned below to find the answer.
Step 1: Let x be the repeating decimal, x = 0.272727...
Step 2: Multiply x by 100 (since the repeating sequence has 2 digits), so 100x = 27.272727...
Step 3: Subtract the original x from this equation: 100x - x = 27.272727... - 0.272727... 99x = 27
Step 4: Solve for x by dividing both sides by 99. x = 27/99
Step 5: Simplify the fraction by dividing the numerator and denominator by their GCD, which is 9. 27/99 = 3/11
Thus, 0.272727 can be written as a fraction 3/11.
Important Glossaries for 0.272727 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Repeating Decimal: A decimal in which a sequence 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.
- Greatest Common Divisor (GCD): The largest positive integer that divides two numbers without leaving a remainder.
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