Question

Qual o valor de x nessa soma de frações?
Cálculo sem uso da calculadora.
2/73 = 1/60 + 1/219 + 1/292 + 1/x

Resposta = 365

Answer 1

2/73 = 1/60 + 1/219 + 1/292 + 1/x

    2    =  1    +   1    +   1     +   1
  ------   ------   ------     -----      -----
    73     60       219     292        x

73,60,219,292 : 2
73,30,219, 146: 2
73,15,219,73: 3
73,5,73,73: 5
73,1,73,73: 73
-----------------------
1,1,1,1     = 2.2.3.5.73 = 4.15.73 = 60.73 = 4380

120x    =   73x + 20x + 15x + 4380
-------      ----------------------------------
4380x                   4380x

120x = 73x + 20x + 15x + 4380
120x = 108x + 4380
120x - 108x = 4380
12x = 4380
x = 365