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Write the following rational number in decimal form: \[\dfrac{{127}}{{200}}\]

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Last updated date: 14th Jun 2024
Total views: 392.4k
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Answer
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Hint: Since it is a rational number so to convert it into the decimal form we will simply deduce the fraction in the lowest factor and then divide the numerator by the denominator or we can also simply divide the numerator by the denominator.

Complete step-by-step answer:
We have a rational number which is \[\dfrac{{127}}{{200}}\]and we have to convert it into a decimal.
So first of all we will check whether this fraction can be made simpler or not, and if it cannot make it simpler then we have to divide the numerator from the denominator.
Therefore, on dividing we get
$ \Rightarrow \dfrac{{127}}{{200}} = 0.635$
Hence, $0.635$ will be the decimal form of the above rational number.

Additional information: A rational number is any number that can be expressed as the quotient or fraction $p/q$ of two integers, a numerator $p$ , and a non-zero denominator $q$. Since $q$ may be equal to$1$, every integer is a rational number.
For example: $3/4$ is a rational number.
Any decimal number that closes in rehashing digits is discerning because the estimation of those rehashing digits can be composed as a division. The sum of two rational numbers is equal to a rational number. The difference between the two rational numbers is equal to a rational number. The product of two rational numbers is equal to a rational number.

Note: So by looking at the answer we can say that since the digits in the decimal number are repeated so we can say that it is a rational number. Also to convert it into the decimal we can make the fraction into the shortest possible decimal form.