(1/4 + 3/4х) : 0,45 = 25/36
1/4 + 3/4х = 25/36 * 0,45
1/4 + 3/4х = 25/36 * 9/20
1/4 + 3/4х = 5/16
3/4х = 5/16 - 1/4
3/4х = 5/16 - 4/16
3/4х = 1/16
х = 1/16 : 3/4
х = 1/16 * 4/3
х = 1/12
Пояснения:
0,45 = 45/100 = 9/20 - сократили на 5
25/36 * 9/20 = (5*1)/(4*4) = 5/16
1/4 = 4/16 - доп.множ. 4