Have you ever wondered what .1 repeating as a fraction is? Well, wonder no more! In this blog post, we’ll show you how to calculate it and explain what it means.
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Introduction
In mathematics, a repeating decimal is a real number that after some point repeats infinitely often its digits. For example, the numbers 0.999… (that is, 1/10 with an overline on the 9 representing that it repeats indefinitely) and 1.1100110011… (that is, 1/3 with trailing zeroes and an overline on the first group of those zeroes representing that it repeating infinitely often) are both repeating decimals. Every rational number has a unique representation as a terminating or repeating decimal, and every real number has a unique representation as either a terminating or repeating decimal or as the limit of a sequence of fractions whose denominators are powers of 10 (this sequence of fractions always converges).
What is .1 Repeating as a Fraction?
.1 repeating as a fraction is 1/10, or one tenth. This fraction results from the division of one by ten. The fraction can be written as 1/10, or 0.1, or 0.10, or 0.100, and so on
How to Convert .1 Repeating to a Fraction
.1 repeating is a decimal that represents a fraction. The fraction it represents is 1/10, or one tenth. To convert .1 repeating to a fraction, you need to find the repeating decimal pattern and write it as a fraction.
The easiest way to do this is to multiply .1 by 10. This will give you 1.0 with the decimal point moving one place to the left. Now, look at the number to the right of the decimal point. This number is 0, and it is the only number that repeats in .1 repeating. This means that the fraction .1 repeating can be written as 1/10 with 0 as the repeating decimal.
Conclusion
.1 repeating as a fraction is 1/10, or one tenth. This number can be written as 0.1, 0.10, or 0.100… The ellipses at the end of the decimal indicate that the zeroes continue on infinitely. When written as a fraction, we need to use the symbol for “repeating,” which is a small line above the numerator (the top number).
