; by (B) 0.8. (j) Calculation of work activation participation rates (1) Definition of sanctioned recipient In this subsection, the term sanctioned recipient means any eligible participant who— (A) was required to participate in work activation in a month; (B) failed to perform the assigned work and work preparation activities so as to meet the relevant hourly requirements in subsection (c), (d), or (e)(2); and (C) was sanctioned by a reduced benefit payment in the subsequent month under subsection (g). (2) Requirements The work activation 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. (3) Monthly participation rate For purposes of paragraph (2), the monthly participation rate shall equal the ratio of all countable participants to all eligible participants in the month, as determined under paragraph (4). (4) Ratio of all countable participants to all eligible participants Subject to paragraph (5), the ratio of all countable participants to all eligible participants in a month equals the proportion that— (A) the sum obtained by adding— (i) all eligible participants who— (I) were required by the State to engage in interim work activation, full work activation, or education under subsection (e)(1) during the month; and (II) fulfilled the criteria for successful engagement in work activation for that activity during the month; and (ii) all sanctioned recipients for that month