Decimals

Question

0

274

2

Find the 291st digit past the decimal point in the expansion of \(\frac{1}{39}\)

Guest Jan 22, 2022

BuilderBoi · Answer 1 · 2022-01-22T11:35:14

\(1 \over 39\) is equal to \(0.0\overline{256410}\)

Digits 2, 8, and 14 are all equal to 2. By dividing, the 288th digit is 2. This means that the 291st digit is 4.

Guest · Answer 2 · 2022-01-23T11:06:37

1/39 ==0.025641 025641 025641 025641 025641

Since the fraction has a "period" of 6, or repeating the same 6 digits, therefore the 291st digit should be:

291 mod 6==3, or the 3rd digit from the decimal point, or 5.