; (ii) failed to perform the assigned work and work preparation activities so as to meet the relevant hourly requirements; and (iii) was sanctioned by a reduced assistance payment in the subsequent month under paragraph (8). (B) Requirements The work preparation participation rate for a State for any quarter of a fiscal year shall equal the average of the monthly participation rates for the State during the 3 months of that quarter. (C) Monthly participation rate For purposes of subparagraph (B), the monthly participation rate shall equal the ratio of all countable participants to all eligible participants in the month, as determined under subparagraph (D). (D) Ratio of all countable participants to all eligible participants Subject to subparagraph (E), the ratio of all countable participants to all eligible participants in a month equals the proportion that— (i) the sum obtained by adding— (I) all eligible participants who— (aa) were required by the State to engage in work preparation during the month; and (bb) fulfilled the criteria for successful engagement in work preparation during the month; and (II) all sanctioned recipients for that month