It is a peculiar result. 191/7 = 27.2857142857142857. "285714" repeats in the result. Is this not peculiar? What is this called as in maths??

 Aug 20, 2017

This is called a \("Repeating\space Decimal"\), just like how the results are in fractional loops, the cause of it is because the remainder always cease to disappear in divisions, like how grass never go away no matter how many times you cut it.

In your case, \(\frac{191}{7}=27.285714285714...\)

The number \(\frac{191}{7}\) can also be written as \(27+\frac{2}{7}\)

Since we know that \(\frac{1}{7}=0.142857142857...\)

The number  \(\frac{2}{7}=2\cdot\frac{1}{7}=0.285714285714...\)

Adding the previously deattached \(27\)

\(\frac{191}{7}\) can be written in decimal form as: \(27.285714285714...\)

(Source: https://en.wikipedia.org/wiki/Repeating_decimal)


Hope this helps :)

 Aug 20, 2017

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