Question

x/1=3,6/4,8=1,8/y=z/5,2

afla termenii necunoscuti din sirul de eapoarte egale

Answer 1

Răspuns:

x=1×3,6/4,8

x=3,6/4,8

x=36/10 supra 48/10 si simplificam cu 2

x=18/5 supra 24/5

x=18/5 × 5/24 si 5 cu 5 se simplifica

x=18/24 simplificam cu 2

x=9/12

x=3/4

si dincolo faci la fel si dupa rezolvi egalitatea

Answer 2

x/1 = 3,6/4,8 = 1,8/y = z/5,2

Calculăm 3,6/4,8 = (36/10)/(48/10) = 36/10 × 10/48 = 36/48 = 3/4

Atunci:

x/1 = 3/4 => x×4 = 3×1 => x = 3/4 = 0,75

1,8/y = 3/4 => 3y = 4×1,8 = 4×18/10 = 2×18/5 = 36/5 => y = 36/5 : 3 = 36/5 × 1/3 => y = 12/5 = 2,4

z/5,2 = 3/4 => 4z = 3×5,2 = 3×52/10 = 3×26/5 = 78/5 => z = 78/5 : 4 = 78/5 × 1/4 => z = 39/10 = 3,9

R: x = 3/4 = 0,75

y = 12/5 = 2,4

z = 39/10 = 3,9