Question

Calculeaza a,b,c, apoi sumele a+b,a+c,a+b+c unde
A=5supra36+1supra24
B=5supra48+1supra36

Answer 1

a = 5/36 + 1/24 
36 = 2²×3²
24 = 2³×3
cmmmc al numerelor (36, 24) = 2³×3²=72

a = (2×5) /72 + (3×1) / 72 =  10/72 + 3/72 = 13/72

b=5/48 + 1/36 = 
48 = 4²×3
36 = 4×3²
cmmmc al numerelor ( 48, 36 ) = 4²×3²= 144

b = 15/144 + 4/144= 19 / 144

a+b = 13/72 + 19 /144 =(2×13) / 144 + 19/144 = (26 + 19) / 144 = 45/144= 
= ( 45 : 9) / ( 144 : 9) = 5/16 = 0,3125