Răspuns:
Explicație pas cu pas:
3)
deimpartitul => 3 intregi si 14 / 25 = ( 3 × 25 + 14 ) / 25 = 89 / 25
catul => 89 / 15
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89 / 25 : i = 89 / 15
i = (89 / 25) : 89 / 15
i = (89 / 25 ) × 15 / 89
i = 3 / 5 → impartitorul
Verific: ( 89 / 25 ) : 3 / 5 = ( 89 / 25 ) × 5 / 3 = 89 / 15 → catul
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4) 1 intreg si 1 / 2 = ( 1 x 2 + 1 ) / 2 = 3 / 2
[( 1 / 15 - 1 / 18 ) : 1 / 45 + 1 / 60 : ( 1 / 12 - 1 / 15)] : 3 / 2 = 1
= [ ( 6 / 90 - 5 / 90 ) × 45 + 1 / 60 : ( 5 / 60 - 4 / 60 ) ] : 3 / 2 =
= [ ( 1 / 90 ) × 45 + 1 / 60 : ( 1 / 60 ) ] : 3 / 2 =
= [ 1 / 2 + (1 / 60) × 60 / 1 ] × 2 / 3 =
= ( 1 / 2 + 1 ) × 2 / 3 =
= ( 1 / 2 + 2 / 2 ) × 2 / 3 =
= ( 3 / 2 ) × 2 / 3 =
= 1 → numar natural
