5.282 Вычислите значение выражения: a) 14 9/13 - 1 5/13 + 12 11/13; б) 7 24/25 - 3 12/25 - 1 7/25; в) 17 7/40 + 3 9/40 - 1 17/40; г) 23 15/49 - 13 19/49 - 1 30/49.

a) 14 9/13 - 1 5/13 + 12 11/13 = (14 - 1 + 12) + (9/13 - 5/13 + 11/13) = 25 + 15/13 = 25 + 1 2/13 = 26 2/13

Ответ: $$26 \frac{2}{13}$$

б) 7 24/25 - 3 12/25 - 1 7/25 = (7 - 3 - 1) + (24/25 - 12/25 - 7/25) = 3 + 5/25 = 3 + 1/5 = 3 1/5

Ответ: $$3 \frac{1}{5}$$

в) 17 7/40 + 3 9/40 - 1 17/40 = (17 + 3 - 1) + (7/40 + 9/40 - 17/40) = 19 - 1/40 = 18 39/40

Ответ: $$18 \frac{39}{40}$$

г) 23 15/49 - 13 19/49 - 1 30/49 = (23 - 13 - 1) + (15/49 - 19/49 - 30/49) = 9 - 34/49 = 8 + 49/49 - 34/49 = 8 + 15/49 = 8 15/49

Ответ: $$8 \frac{15}{49}$$