(((3 5/8-(-7/80)+4 11/30-(-17/60))*50/223):(-2 7/8+4 3/5))*23/35. Created by Drakosha228. matematika-ru

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oksik1970 (((3 5/8-(-7/80)+4 11/30-(-17/60))*50/223):(-2 7/8+4 3/5))*23/35

Раскроем две скобки, чтобы минусы убрать.

((( 3 5/8+ 7/80 + 4 11/30+ 17/60)• 50/223) : (-2 7/8+ 4 3/5) ) • 23/35=..

По действиям .

1)) 3 5/8+ 7/80= 3 (5•10)/(8•10)+ 7/80=
3 50/80+ 7/80= 3 57/80

2)) 4 11/30+ 17/60=
4 (11•2)/(30•2)+ 17/60=
4 22/60+ 17/60= 4 39/60= 4 13/20

3)) 3 57/80+ 4 13/20=
3 57/80+ 4 (13•4)/(20•4)=
3 57/80+ 4 52/80=
7 109/80= 8 29/80.

4)) 8 29/80• 50/223=
(8•80+29)/80• 50/223=
669/80• 50/223=
Сокращаем 669 и 223 на 223; 80 и 50 на 10;
3/8• 5/1= 15/8.

5)) (-2 7/8)+ 4 3/5=
(- 2 (7•5)/(8•5))+ 4 (3•8)/(5•8)=
(- 2 35/40) + 4 24/40=
4 24/40- 2 35/40=
3 (40•1+24)/40 - 2 35/40=
3 64/40- 2 35/40=
1 29/40

6)) 15/8 : 1 29/40= 15/8: (1•40+29)/40=
15/8: 69/40= 15/8• 40/69=
Сокращаем 15 и 69 на 3; 8 и 40 на 8.
5/1• 5/23= 25/23

7)) 25/23• 23/35=
Сокращаем 23 и 23 на 23; 25 и 35 на 5.
5/1• 1/7= 5/7

Ответ : 5/7.

2 votes Thanks 2

TigerYa

Verified answer

(((3 5/8-(-7/80)+4 11/30-(-17/60))*50/223):(-2 7/8+4 3/5))*23/35=5/7

1) 3 5/8-(-7/80)=3 50/80+7/80=3 57/80
2) 4 11/30-(-17/60)=4 22/60+17/60=4 39/60= 4 13/20
3) 3 57/80+4 13/20=3 57/80+4 52/80=7 109/80=8 29/80
4) 8 29/80 × 50/223=669/80 × 50/223=3/8 × 5 = 15/8 = 1 7/8
5) -2 7/8+4 3/5= -2 35/40+4 24/40=2 - 11/40 = 1 29/40
6) 1 7/8 ÷ 1 29/40 = 15/8 ÷ 69/40 = 15/8 × 40/69 = 5 × 5/23 = 25/23
7) 25/23 × 23/35 = 5/7

2 votes Thanks 2

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