Question

Simplificați fracțiile​

Answer 1

Răspuns:

Explicație pas cu pas:

b)

abc + bca + cab = 100a + 10b + c + 100b + 10c + a + 100c + 10a + b

= 111a + 111b + 111c = 111(a + b + c)

xyz + yzx + zxy = 100x + 10y + z + 100y + 10z + z + 100z + 10x + y

= 111x + 111y + 111z = 111(x + y + z)

fractia devine 111(a + b + c)/111(x + y + z) = (a + b + c)/(x + y + z)

c)

ab0ab = 10000a + 1000b + 10a + b = 10010a + 1001b = 1001(10a + b)

17017 = 10000 + 7000 + 10 + 7 = 10010 + 7007 = 1001(10 + 7) = 17*1001

fractia devine 1001(10a + b)/17*1001 = (10a + b)/17 = ab/17