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What is a simple way to find 12 mod 7 + 12 mod 7 + 12 mod 7 + 12 mod 7?

User Tipsy
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1 Answer

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12 ≡ 7 + 5 ≡ 5 (mod 7)

so

12 + 12 + 12 + 12 ≡ 4•12 ≡ 4•5 ≡ 20 ≡ 14 + 6 ≡ 6 (mod 7)

User Ali Mahmoodi
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