Question

7/36+17/24+19/72 calculati

Answer 1

Răspuns

Explicație pas cu pas:

7 /36 + 17 / 24 + 19 / 72 = 7 / 6

→ aflu c.m.m.m.c al numitorilor 36,  24  si 72

36 = 2² × 3²

24 = 2³ x 3

72 = 2³ x 3²

______________

c.m.m.m.c al numitorilor ( 36;  24  si 72 ) = 8 x 9 = 72

→ aduc fractiile la acelasi numitor, amplificandu-le cu 2, respectiv cu 3 a doua fractie

= ( 7 × 2 ) / ( 36 × 2 ) + ( 17 × 3 ) / ( 24 × 3 ) + 19 / 72 =

= ( 14 + 51 + 19 ) / 72 =

= 84 / 72 =  → simplific fractia prin 12 ( 84 : 12 ) / ( 72 : 12 )

= 7 / 6 =

= 1 intreg si 1 / 6