please tell me how to convert non terminating decimal into fraction please tell me in detail
Answers
Step-by-step explanation:
Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals. Non terminating decimals: Non terminating decimals are those which keep on continuing after decimal point (i.e. they go on forever). They don't come to end or if they do it is after a long interval.
To find out whether a fraction will have a terminating or recurring decimal, look at the prime factors of the denominator when the fraction is in its most simple form. If they are made up of 2s and/or 5s, the decimal will terminate.
A terminating decimal, true to its name, is a decimal that has an end. For example, 1 / 4 can be expressed as a terminating decimal: It is 0.25. In contrast, 1 / 3 cannot be expressed as a terminating decimal, because it is a recurring decimal, one that goes on forever. In other words, as a decimal 1/3 is 0.33333…..
Answer:Can a fraction be written as a non terminating decimal?A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly. Decimals of this type cannot be represented as fractions, and as a result are irrational numbers. Pi is a non-terminating, non-repeating decimal.Rational numbers, when written as decimals, are either terminating or non-terminating, repeating decimals. Converting terminating decimals into fractions is straightforward: multiplying and dividing by an appropriate power of ten does the trick. For example, 2.556753 = \frac{2556753}{1000000}.2.556753= 10000002556753 . However, when the decimals are repeating, things are a little more difficult. Repeating decimals occur very frequently both when doing simple arithmetic and when solving competition problems, so being able to convert them to fractions is a valuable skill.
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