Bonjour,
1)
3/2 + 4/19 - 5/114 = 190/114
(3 x 57) + (2 x 57) + (4 x 6) / (19 x 6) - 5/114) = 190/114
171/114 + 24/114 - 5/114 = 190/114
190/114 = 190/114.
2)
190 = 2 x 5 x 19
114 = 2 x 3 x 19
3)
190/114
= [(2 x 19) x 5] / [(2 x 19) x 3)]
= (38 x 5) / (38 x 3)
= 5/3.