Have you ever wondered what 0.8 repeating as a fraction is? In this blog post, we’ll explore what this number means and how to represent it in fraction form.
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What is a Fraction?
In mathematics, a fraction is a number expressible as a ratio of two integers with a denominator that is not zero. A fraction represents a part of a whole or, more generally, any number of equal parts. When two fractions have the same denominator (bottom number), they are called like fractions and can be added and subtracted from each other. When two fractions have different denominators (bottom numbers), they are called unlike fractions and can only be multiplication or divided by each other
What is a Repeating Decimal?
A repeating decimal is a decimal number where the digits are periodic and repeat themselves indefinitely. In other words, the number has a fractional component that consists of a certain side (the “period”), which being infinitely repeated.
To convert a repeating decimal to a fraction, we simply need to find the period and put it over a denominator of 10 raised to whatever power the period is located at. For example, 0.8 repeating would be equivalent to 8/90 because the period (8) is located at the 2nd power of 10.
What is 0.8 Repeating as a Fraction?
0.8 repeating as a fraction is equal to 8/10. To convert 0.8 repeating to a fraction, simply divide 8 by 10. The resultant fraction will have 0.8 repeating as its decimal equivalent.
How to Convert 0.8 Repeating to a Fraction
To convert 0.8 repeating to a fraction, divide 8 by 9. This will give you the answer of 8/9 with a remainder of 7. Therefore, the final answer is 8/9 + 7/81 which can be simplified to 17/81.
Examples of 0.8 Repeating as a Fraction
0.8 repeating as a decimal is equal to 8/10, or 4/5, in fraction form. To convert 0.8 repeating to a fraction, divide 8 by 10 and reduce the fraction if possible. The fraction 8/10 is reduced because it is equal to 4/5.
To convert 0.8 repeating to a fraction, divide 8 by 10 and reduce the fraction if possible. The fraction 8/10 is reduced because it is equal to 4/5.
Some other examples of 0.8 repeating as a fraction are:
-16/20
-32/40
-64/80
