Odpowiedź:
a)
0,9a- 1 i 1/2 = 1 i 7/8
9/10a = 1 i 7/8 + 1 i 1/2
9/10a = 1 i 7/8 + 1 i 4/8
9/10a = 15/8 + 12/8
9/10a = 27/8
a= 27/8 : 9/10
a= 27/8 * 10/9
a= 3/4 * 5/1
a= 15/4
a= 3 i 3/4
spr.
0,9a- 1 i 1/2 = 1 i 7/8
L= 0,9a - 1 i 1/2 = 9/10 * 3 i 3/4 - 1 i 1/2= 9/10 * 15/4 - 1 i 1/2 =
= 9/2 * 3/4 - 1 i 1/2 = 27/8 - 3/2 = 27/8 - 12/8 = 15/8 = 1 i 7/8
P= 1 i 7/8
1 i 7/8 = 1 i 7/8
L=P
b)
0,7a - 1 i 3/4 =2 i 5/8
7/10a = 2 i 5/8 + 1 i 3/4
7/10a = 2 i 5/8 + 1 i 6/8
7/10a = 21/8 + 14/8
7/10a = 35/8
a= 35/8 : 7/10
a= 35/8 * 10/7
a= 5/4 * 5/1
a= 25/4
a= 6 i 1/4
spr.
0,7a - 1 i 3/4 =2 i 5/8
L= 0,7a - 1 i 3/4 = 7/10 * 6 i 1/4 - 1 i 3/4 = 7/10 * 25/4 - 1 i 3/4 =
= 7/2 * 5/4 - 7/4= 35/8 - 14/8 = 21/8 = 2 i 5/8
P= 2 i 5/8
2 i 5/8 = 2 i 5/8
L=P
Szczegółowe wyjaśnienie:
