Решите пример: 5 9/14-2 3/7+6,7

Решим пример по действиям:

5 9/14 - 2 3/7 + 6,7 = 9 32/35.

1) 5 9/14 - 2 3/7 = 5 - 2 + 9/14 - 3/7 = 3 + 9/14 - (3 * 2)/(7 * 2) = 3 + 9/14 - 6/14 = 3 + (9 - 6)/14 = 3 + 3/14 = 3 3/14;

2) 3 3/14 + 6,7 = 3 3/14 + 6 7/10 = 3 + 6 + 3/14 + 7/10 = 9 + (3 * 10)/(14 * 10) + (7 * 14)/(10 * 14) = 9 + 30/140 + 98/140 = 9 + (30 + 98)/140 = 9 + 128/140 = 9 + (4 * 32)/(4 * 35) = 9 + 32/35 = 9 32/35.

Решим подобный пример:

3 3/8 - 2 5/16 = 3 - 2 + 3/8 - 5/16 = 1 + (3 * 2)/(8 * 2) - 5/16 = 1 + 6/16 - 5/16 = 1 + (6 - 5)/16 = 1 1/16.