Question

3 si 4 dau coroana si inima va rog repede

Answer 1

Răspuns:

Explicație pas cu pas:

3)

deimpartitul =>  3 intregi si 14 / 25 = ( 3 × 25 + 14 ) / 25 = 89 / 25

catul =>  89 / 15

__________________________

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

___________________________________________________

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