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MathNet 2022-part-03 — 197 problems (EN–VI) Question 48

Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)

Question 48

The result of dividing $57$ by $111$ is a number of the form $0.\ldots$ with infinitely many digits after the decimal point. What is the sum of the first $2022$ digits after the decimal point?

(A) $3033$
(B) $4044$
(C) $5055$
(D) $6066$
(E) $7077$