Răspuns:
Explicație pas cu pas:
1. a) 60 × 3 / 5 = 180 / 5 = 36 → primul mod
( 60 / 5 ) × 3 = 12 × 3 = 36 → al doilea mod
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b) ( 5 / 6 ) × 9 = ( 5 × 9 ) / 6 = 45 / 6 =(45 :3 )/( 6:3) = 15/2 → primul mod
5 × ( 9 / 6 ) = 5 × ( 3 / 2 ) = ( 5 × 3 ) / 2 = 15 / 2 → al doilea mod
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c) 14 × ( 3 / 4 ) = ( 14 × 3 ) / 4 = 42 / 4 = ( 42:2)/(4:2) = 21 / 2
( 14 / 4 ) × 3 = ( 7 / 2 ) × 3 = ( 7 × 3) / 2 = 21 / 2
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2)
a) 7 intregi si 2 / 3 = ( 7 x 3 + 2 ) / 3 = 23 / 3
( 23 / 3 ) × 6 = ( 23 × 6 ) / 3 = 138 / 3 = 46 → primul mod
23 × ( 6 / 3 ) = 23 × 2 = 46 → al doilea mod
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b) 3 intregi si 2 / 5 = ( 3 × 5 + 2 ) / 5 = 17 / 5
= ( 17 / 5 ) × 15 = ( 17 × 15 ) / 5 = 255 / 5 = 51 → primul mod
= 17 × ( 15 / 5 ) = 17 × 3 = 51 → al doilea mod
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c) 4 intregi si 3 / 7 = ( 4 × 7 + 3 ) / 7 = 31 / 7
= ( 31 / 7 ) × 5 = ( 31 × 5 ) / 7 = 155 / 7 = 22 intregi si 1 / 7
= 31 × ( 5 / 7 ) = 155 / 7
