Find the six-digit number abcdef such that

0.\overline{abcdef} = \frac{2}{17},

without a calculator.

onyuIee Jul 24, 2024

#1**+1 **

Since we can't use a calculator (thanks a lot LOL :))

Look at the image!

We have that \(2/17 = 0.\overline{1176470588235293}\)

There are 16 digits repeating in this decimal.

So our answer is 1176470588235293.

I'm not sure how there's only 6 digits, but there are 16 digit repeating.

Thanks! :)

NotThatSmart Jul 24, 2024