(5/7*2 1/3*5/6-1): (1-7/8*1 3/5*3/14) - вопрос №572135611781353147778989 от qwertyzored 22.08.2021 06:16

Question

Математика: (5/7*2 1/3*5/6-1): (1-7/8*1 3/5*3/14)

qwertyzored · Answer

(5/7×2 1/3×5/6-1)÷(1-7/8×1 3/5×3/14) = 5/9
1)5/7 × 2 1/3 = 5/7 × 7/3 = 5/3 = 1 2/3
2)1 2/3 × 5/6 = 5/3 × 5/6 = 25/18 = 1 7/18
3) 1 7/18 - 1 = 7/18
4)7/8 × 1 3/5 = 7/8 × 8/5 = 7/5 = 1 2/5
5)1 2/5 × 3/14 = 7/5 × 3/14 = 3/10
6)1 - 3/10 =(1 × 10 - 3 × 1)/10 = (10 - 3)/10 = 7/10
7) 7/18 ÷ 7/10 = 7/18 × 10/7 = 5/9