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108 LearnersLast updated on March 9th, 2025
0.72727272727 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, 0.72727272727, we are going to learn how to convert a decimal to a fraction.
What is 0.72727272727 as a Fraction?
Answer
The answer for 0.72727272727 as a fraction will be 8/11.
Explanation
Converting a repeating decimal to a fraction involves a few straightforward steps. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 0.72727272727... (repeating decimal)
Step 2: Multiply both sides by 100 (since the repeating part is two digits long) to shift the decimal point: 100x = 72.72727272727...
Step 3: Subtract the original equation (Step 1) from this new equation to eliminate the repeating part: 100x - x = 72.72727272727... - 0.72727272727... 99x = 72
Step 4: Solve for x by dividing both sides by 99: x = 72/99
Step 5: Simplify the fraction by finding the greatest common divisor (GCD) of 72 and 99, which is 9: 72/99 = (72÷9)/(99÷9) = 8/11
Thus, 0.72727272727 can be written as a fraction 8/11.
Important Glossaries for 0.72727272727 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 figure or group of figures is repeated indefinitely.
- 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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