Question

Urgent va rog
+ Vreau schema

Answer 1

g) 
1 / 28 + 7 / 72 + 1 / 84 = 

28 = 2² × 7 
72 = 2³ × 3² 
84 = 2² × 3 × 7
______________
cmmmc al numerelor ( 28 , 72 si 84 ) = 2³ × 3² × 7 = 504 

18 / ( 28 × 18) + ( 7 × 7 )  / ( 72 × 7) + 6 / ( 84 × 6) =

= 18 / 504 + 49 / 504 + 6 / 504 = 

= 73 / 504 
______________________________________________

h) 

1 intreg si 1 / 3 = ( 1 × 3 + 1) / 3 = 4 / 3 
4 intregi si 1 / 2 = ( 4 × 2 + 1) / 2 = 9 / 2 

1 / 8 + 4 / 3 + 9 / 2 = 

cmmmc al numitorilor ( 8, 3, 2 ) = 8 x 3 = 24 
→ aduc fractiile la acelasi numitor comun 24

= 3 / 24 + 32 / 24 + ( 9 × 12) / 24 = 

= 35 / 24 + 108 / 24 = 

= 143 / 24 = 5 intregi si 23 / 24 
______________________________

i) 

2 intregi si 1 / 10 = ( 2 × 10 + 1 ) / 10 = 21 / 10 
3 intregi si 1 / 35 = ( 3 × 35 + 1) / 35 = 106 / 35 
1 intreg si 3 / 14 = ( 1 × 14 + 3 ) / 14 = 17 / 14 

cmmmc al numitorilor ( 10; 35 si 14 ) = 2 × 5 × 7 = 70 
10 = 2 × 5 
35 = 5 × 7 
14 = 2 × 7 

21 / 10 + 106 / 35 + 17 / 14 = 

= ( 21 × 7 ) / 70 + ( 106 × 2) / 70 + ( 17 × 5) / 70 =

= 147 / 70 + 212 / 70 + 85 / 70 =

= 444 / 70 = 222 / 35 = 6 intregi si 12 / 35 
__________________________________

j) 120 = 2³ × 3 × 5
   240 = 2⁴ x 3 x 5 
   400 = 2⁴ x 5²
_______________
cmmmc al numitorilor ( 120;  240;  400) = 2⁴ x 3 x 5² = 1 200 

( 7 × 10) / 1 200 + ( 11 × 5) / 1 200 + ( 1 × 3) / 1 200 =

= 70 / 1 200 + 55 / 1 200 + 3 / 1200 =

= 128 / 1 200 = 16 / 150 = 8 / 75  

Answer 2

Sper sa iti fie de folos. La punctul i prima oara am gresit, apoi am lipit o alta foaie, de aceea arata asa. :*