Question

Decimal expansion of 1/17?

Answer 1

`1/17=0.bar(0588235294117647)`

Explanation:

As numerator and denominator in the fraction cannot be factorized or simplified any further and denominator has prime factors different from `2` and `5`,

When converted to decimal, we will have repeating numbers beyond decimal point. The repeat will have `16` digits.

`1/17 = 1 div17`

=`0. color(red)(0588235294117647)color(blue)(0588235294117647)0588235294117647.....................`

i.e. `0.bar(0588235294117647)`

One can obtain it using long division, dividing `1` by `17`.