Components
割り切れる is an exact match with one form of the following word:
割切れる
BOOST
Reading : わりきれる   
ichidan verb, intransitive verb
1. to be divisible (by); to be divided without residue (remainder)
2. to be satisfied; to be convinced  (see also: 割り切れない; usu. used in the negative)
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Usefulness and usage:
Kanshudo usefulness level: 10 (among the 100,000 most useful words in Japanese)
• Kanshudo usefulness level is based on a usefulness score of 30,831 which gives a rank of 68,338
割切れる is the most useful form. 1 additional form is shown below.
• This form is used about 60% of the time
• Google Japan frequency rank: 123,000 (about 988,000 results)
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Example sentences:
あなたおっしゃることもっともけれど
なに
れない
ものありますねえ
What you're saying is perfectly viable, but I can't shake off my unease.
これ
りくつ
理屈
れない

This is above reason.
割り切れる
BOOST
Reading : わりきれる   
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Usefulness and usage:
• This form is used about 40% of the time
• Google Japan frequency rank: 134,000 (about 732,000 results)
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カツ   わ to separate, to divide   われる to split apart, to crack   わり proportion, 10%   さ to cut up   
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ガイ    damaged, injured   
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コウ   ク   くち mouth   
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シュ   ぬし    あるじ master, proprietor, owner   
roof   
トウ   かたな sword   
セツ   サイ   き to cut   きれる to break, to snap   
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シチ   なな    なな    なの seven   
トウ   かたな sword   
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