15 1/6:18,2+0,13*7 1/13

15 1/6 / 18,2 + 0,13 * 7 1/13 = 1 113/150.

Преобразуем дроби:

15 1/6 = (15 * 6 + 1) / 6 = 91/6.

18,2 = 18 2/10 = (18 * 10 + 2) / 10 = 182/10 сократим на 2 = 91/5.

0,13 = 13/100.

7 1/13 = (7 * 13 + 1) / 13 = 92/13.

Вычислим:

1. 91/6 / 91/5 = (91 * 5) / (6 * 91) = 455/546 сократим на 91 = 5/6.

2. 13/100 * 92/13 = (13 * 92) / (100 * 13) = 1196/1300 сократим на 52 = 23/25.

3. 5/6 + 23/25 = (125 + 138) / 150 = 263/150 = 1 113/150.