Решить пример: (45 1/2 - 2 3/8) - (5 5/6 + 6 - вопрос №776495545122385566341023558 от yurka1973 26.10.2020 22:22

Question

Математика: Решить пример: (45 1/2 - 2 3/8) - (5 5/6 + 6 3/4) + (10 2/3 - 5 5/8).

yurka1973 · Answer

(45 1/2 - 2 3/8) - (5 5/6 + 6 3/4) + (10 2/3 - 5 5/8)=35 7/12
1)45 1/2 - 2 3/8 = 91/2 - 19/8 = (91 × 4 - 19 × 1)/8 = 364/8 - 19/8 = 345/8 = 43 1/8
2)5 5/6 + 6 3/4 = 35/6 + 27/4 = (35 × 2 + 27 × 3)/12 = 70/12 + 81/12 = 151/12 = 12 7/12
3)10 2/3 - 5 5/8 = 32/3 - 45/8 =(32 × 8 - 45 × 3)/24 = 256/24 - 135/24 = 121/24 = 5 1/24
4)43 1/8 - 12 7/12 = 345/8 - 151/12 = (345 × 3 - 151 × 2)/24 = 1035/24 - 302/24 = 733/24 = 30 13/24
5)30 13/24 + 5 1/24 = 733/24 + 121/24 = 854/24 = 427/12 = 35 7/12