Найдите значение числового выражения: 1 11/15 * (4 1/2 - 3

Найдите значение числового выражения:

1 11/15 * (4 1/2 - 3 2/5 : 17/20) + 1 11/20
= 2 5/11.

1)) 3 2/5 : 17/20= (35+2)/5 20/17=

17/5 20/17=
уменьшаем 17 и 17 на 17; 5 и 20 на 5.

1/1 4/1= 4.

2)) 4 1/2- 4= 1/2.

3)) 1 11/15 1/2= (151+11)/15 1/2=

26/15 1/2=
Уменьшаем 26 и 2 на 2.

13/15 1/1= 13/15.

4)) 13/15+ 1 11/20= 13/15+ (120+11)/20=

13/15+ 31/20=

(134)/(154)+ (313)/(203)=

52/60+ 93/60= 145/60=
2 25/60= 2 5/12.
Сократили 25/60 на 5.


2 5 4/7 : 1 5/21 - (5 2/15 *3/22 +1 14/15) = -5 2/15.

1)) 5 2/15 3/22= (515+2)/15 3/2=

77/15 3/2=
Уменьшаем 15 и 3 на 3.

77/51/2= 77/10= 7 7/10

2)) 7 7/10+ 1 14/15=

7 (73)/(103)+ 1 (142)/(152)=

7 21/30+ 1 28/30= 8 49/30= 9 19/30

3)) 5 4/7: 1 5/21= (57+4)/7: (211+5)/21=

39/7: 26/21= 39/7 21/26=
Сокращаем 39 и 26 на 13; 7 и 21 на 7.

3/1 3/2= 9/2= 4 1/2

4)) 4 1/2 - 9 19/30 =

4 (115)/(215)- 9 19/30=

-(9 19/30 - 4 15/30)=

-( 5 4/30)= - 5 2/15.
Сократили 4/30 на 2.



3 7 2/3 + 4 1/6 * (6 2/7 - 3 5/7)=
= 15 8/21.

1)) 6 2/7- 3 5/7= 5 (17+2)/7 - 3 5/7=

5 9/7- 3 5/7= 2 4/7.

2)) 4 1/6 2 4/7= (46+1)/6 (27+4)/7=

25/6 18/7=
Сокращаем 6 и 18 на 6

25/1 3/7= 75/7= 7 5/7.

3)) 7 2/3+ 7 5/7=

7 (27)/(37)+ 7 (53)/(73)=

7 14/21+ 7 15/21= 14 29/21= 15 8/21.




4 4 2/7 : 1 5/21 + ( 4 3/13 * 14/15 - 3 1/3). = 4 1/13.

1)) 4 3/13 14/15= (413+3)/13 14/15=

55/13 14/15=
Уменьшаем 55 и 15 на 5.

11/13 14/3= 154/39= 3 37/39.

2)) 3 37/39- 3 1/3=

3 37/39- 3 (113)/(313)=

3 37/39- 3 13/39= 24/39.

3)) 4 2/7: 1 5/21= (47+2)/7: (121+5)/21=

30/7: 26/21= 30/7 21/26=
Уменьшаем 30 и 26 на 2; 7 и 21 на 7.

15/1 3/13= 45/13= 3 6/13.

4)) 3 6/13 + 24/39=3 (63)/(133)+24/39=

3 18/39+24/39= 3 42/39=

4 3/39= 4 1/13.
Уменьшили 3/39 на 3.