0.83 repeating as a fraction is an infinite decimal. It can be written as 83/100 or 1 1/3.
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Introduction
0.83 repeating is a decimal number with an infinite decimal expansion. In other words, the digits in 0.83 never end and the number just keeps repeating itself infinitely. While this might seem like a weird concept, it’s actually quite common in math and physics. For example, 1/3 is 0.333…, which just means that the 3 repeats forever.
What is 0.83 Repeating as a Fraction?
0.83 can be represented as a fraction in a few different ways. The most common way to write 0.83 as a fraction is 83/100, but it can also be written as 830/1000 or 4165/5000. 0.83 can also be represented as a decimal instead of a fraction, which would be 0.830 or 0.83000 depending on how many decimal places are needed.
How to Convert 0.83 Repeating into a Fraction
To convert 0.83 repeating into a fraction, multiply the decimal by 10, 100, 1000, etc. and count the number of digits to the right of the decimal point. This will be the denominator of your fraction. The numerator will be the original decimal multiplied by the same number – 1. So, in this example:
0.83 * 10 = 8.3 There are 1 digit to the right of the decimal, so the denominator is 10
0.83 * 100 = 83 There are 2 digits to the right of the decimal, so the denominator is 100
0.83 * 1000 = 830 There are 3 digits to the right of the decimal, so the denominator is 1000
To get the numerator, simply multiply 0.83 by each number – 1 (9, 99, 999). This gives us:
0.83 * 9 = 7.47 The numerator is 747
0.83 * 99 = 82.17 The numerator is 8217
0.83 * 999 = 829.17 The numerator is 82917
So, 0.83 repeating as a fraction is 747/949 (or 8217/9999), etc., depending on how many digits you want to use in your denominator.”
Conclusion
To recap, 0.83 repeating as a fraction is equal to 83/100. This fraction can be expressed in other ways as well, such as 41/50 or 21/25. No matter how it’s written, the value of 0.83 repeating will always be the same.
