№1. 4 1/7 * 14 - 1 1/4 * 1 1/6 - 1 2/9 * 2 5/8 = 53 1/3
выражением:
= 29/7 * 14/1 - 5/4 * 7/6 - 11/9 * 21/8 =
= 58/1 - 35/24 - 77/24 = 58 - 112/24 = 58 - 14/3=
= 58 - 4 2/3 = 53 1/3
по действиям:
1) 4 1/7 * 14 = 29/7 * 14/1 = 29*2 = 58
2) 1 1/4 * 1 1/6 = 5/4 * 7/6 = 35/24 = 1 11/24
3) 1 2/9 * 2 5/8 = 11/9 * 21/8 = (11*7)/(3*8) = 77/24= 3 5/24
4) 58 - 1 11/24 = 56 13/24
5) 56 13/24 - 3 5/24 = 53 8/24 = 53 1/3
№2. 1 31/32 * 3 1/5 + (8 5/9 * 6/35 + 3 8/15 ) * 7/50 = 7
выражением:
= 63/32 * 16/5 + ( 77/9 * 6/35 + 53/15) * 7/50 =
= 63/10 + ( 22/15 + 53/15 ) * 7/50 =
= 6,3 + 75/15 * 7/50 = 6,3 + 5 * 0,14=
= 6,3 + 0,7 = 7
по действиям:
1) 8 5/9 * 6/35 = (77*6)/(9*35) = (11*2)/(3*5) = 22/15= 1 7/15
2) 1 7/15 + 3 8/15 = 4 + 15/15 = 4+1=5
3) 1 31/32 * 3 1/5 = 63/32 * 16/5 = (63*1)/(2*5) = 63/10 = 6,3
4) 5 * 7/50 = 5/1 * 7/50 = 7/10 = 0,7
5) 6,3 +0,7 = 7