proportion, comparatively, divide, cut, separate, split
割 centers on dividing something into parts: physically cutting or splitting, and the resulting proportion or comparison between the parts.
割 combines 害 (likely phonetic, with an original sense of 'harm' or 'cut') and 刂 (knife), forming the idea of cutting or dividing with a blade.
A knife 刂 cuts through something harmful 害, dividing it into manageable pieces. That division creates proportions.
For カツ, imagine cutting a large cutlet (カツ) into equal portions: the knife divides the cutlet, and カツ sounds just like the reading.
rate; ratio; proportion
part; assigning (allotment of) parts; role; duties
discount; reduction; rebate
rate; ratio; percentage; proportion
to divide
partition; division; separation; segmenting; splitting
allotment; assignment; allocation; quota; rationing
to break; to be smashed
comparatively high; fairly expensive
queue jumping; breaking into a line; muscling in on; wedging oneself in; interruption; sharing a theater box (theatre)
crack; crevice; split; fissure; cleft; rift; chasm; chink; gap
student discount
economical; comparatively cheap
dispensable chopsticks; throwaway chopsticks
to assign; to allot; to allocate; to divide among; to distribute; to prorate; to apportion
timetable (esp. a weekly school timetable); schedule
splitting the cost; splitting the bill; Dutch treat
to cut into (a line, conversation, etc.); to force oneself into (e.g. a crowd); to wedge oneself into; to squeeze oneself into; to intrude on; to interrupt
to find a clear solution; to come to a clean decision; to give a clear explanation; to reason out; to conclude; to be pragmatic; to be practical
cutting an alcoholic beverage (usu. whisky or shōchū); diluting an alcoholic beverage; cut drink; diluted drink; watered-down drink
payment by installments; payment by instalments; hire-purchase
to calculate; to compute
division
comparatively; relatively; fairly; rather; pretty; unexpectedly