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A O 6 Recurring As a Fraction

We now know that it's possible that a large number can be written as a fraction — but that doesn't help us write the number as a fraction. For some reason, most people don't make the mental leap from "larger than ___" to "a fraction of ___" and then try to write the number with a fraction sign. But now, we can tell if the number is a fraction of something (its name), and write the fraction.

The rotation of the repetend of a cyclic number always happens in such a way that each successive repetend is a bigger number than the previous one. In the succession above, for instance, we see that 0.142857... < 0.285714... < 0.428571... < 0.571428... < 0.714285... < 0.857142.... This, for cyclic fractions with long repetends, allows us to easily predict what the result of multiplying the fraction by any natural number n will be, as long as the repetend is known.

In mathematics, a fraction is a value, which defines the part of a whole. In other words, the fraction is a ratio of two numbers. Whereas, the decimal is a number, whose whole number part and the fractional part is separated by a decimal point. The decimal number can be classified into different types, such as terminating and non-terminating decimals, repeating and non-repeating decimals. While solving many mathematical problems, the conversion of decimal to the fractional value is preferred, as we can easily simplify the fractional values. In this article, we are going to discuss how to convert repeating decimals to fractions in an easy way. (Source: byjus.com)

A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating (i.e. all except finitely many digits are zero). For example, the decimal representation of 1/3 becomes periodic just after the decimal point, repeating the single digit "3" forever, i.e. 0.333.... A more complicated example is .

In English, there are various ways to read repeating decimals aloud. For example, 1.234 may be read "one point two repeating three four", "one point two repeated three four", "one point two recurring three four", "one point two repetend three four" or "one point two into infinity three four". (Source: en.wikipedia.org)