What is the 2007th digit to the right of the decimal point in the decimal expansion of 4/23?

4/23 = 0.1739130434782609

Mmm there is a lot of digits repeating here. You may need first of all to work out how many repeat

I'd probably try a calculator that shows more places or do it by hand.

4/23 = 0.1739130434782608695652 1739130434782608695652 1739130434782608695652....has a "period" of 22 digits.

Therefore: 2007 mod 22 = 5. This means that 2007th digit is the 5th digit to the right of the decimal point, which is a "1", 0.1 7 3 9 1