(((3+7/25) + 2,72) · 5/24)/(15/16 ÷ (3+3/4) - 2/9) -((0,36 + 0,224/0,35) · 5)/((5,85 ÷
÷ (1+19/20) - (2+5/9)) ÷ 4) = (-2,343)
1) ((3+7/25) + 2,72) · 5/24) = (3+7/25) · 5/24 + 2,72 · 5/24 = 82/25 · 5/24 + 272/
/100 ·5/24 = 82 ·5/(25 · 24) + (272 · 5)/100 · 24 = 410/600 + 1360/2400 = 1640/
/2400 + 1360/2400 = (1640+1360)/2400 = 3000/2400 = 1500/1200 = 500/400
= 100/80 =50/40 = 10/8 = 5/4
2) 15/16 ÷ (3+3/4) = 15/16 ÷ 15/4 = 15/16 · 4/15 = (15 · 4)/(16 · 15) = 4
3) 4/1 - 2/9 =36/9 - 2/9 = (36-2)/9 = 34/9
4) 5/4 ÷ 34/9 = 5/4 · 9/34 = (5 · 9)/(4 · 34) = 45/136
6) (0,36 + 0,224/0,35) · 5 = 0,36 · 5 + 0,224/0,35 · 5 = 1,8 +(0,224·5)/0,35 = 108/
/100 + (0,224/0,7) = 108/100 + (224/1000 ÷ 7/10) = 108/100 +(224/1000 · 10/7)=
= 108/100 + ((224 · 10)/(1000 · 7)) = 108/100 + 32/100 = (108 + 32)/100 = 140/
/100
7)5,85 ÷ (1 + 19/20) = (5 + 85/100) ÷ (39/20) = 585/100 · 20/39 =(585 · 20)/(100 ·
· 39) = (195 · 4)/(20 · 13) = 195/5 · 13 = 195/65 = 39/13
8) (39/13 - (2 + 5/9)) ÷ 4 = (39/13 ÷ 4/1) - (23/9 ÷ 4/1) = (39/13 · 1/4) - (23/9 · 1/4) =
= 39/(13 · 4) - 23/(9 · 4) = (39 · 9)/(13 · 4 · 9) -(23 · 13)/(9 · 4 · 13) = 261/(52 · 9) -
- 299/(52 · 9) = 261/468 - 299/468 = (261 - 299)/468 = 38/468 = 19/234
9) 140/100 ÷ 19/234 = 140/100 · 234/19 = (140 · 234)/(100 · 19) = (140 · 117)/50 =
= (70 · 117)/25 = (14 · 117)/5=
10) 45/136 - 1 638/5 = 45/(136 · 5) - 1638/(136 · 5) = 45/680 - 1638/680 = (45 -
1638)/680 = (-1593)/680 = (-796,5)/340 = (-159,3)/68 = (-79,65)/34 = (-39,825)/
/17 = (−2,34264705882) = (-2,342647) = (-2,343)