Oblicz. Pamiętaj o kolejności wykonywania działań.
2 7
a) (2 : 6-13):
a
b) 55: (12.(12 +2)]
16
4
9
+
.
3 8


Oblicz Pamiętaj O Kolejności Wykonywania Działań 2 7 A 2 613 A B 55 1212 2 16 4 9 3 8 class=

Odpowiedź :

Odpowiedź:

(2 i 2/3 * 7/8 - 1 i 1/2) = (8/3 * 7/8 - 1 i 1/2) = (7/3 - 1 i 1/2) = (2 i 1/3 - 1 i 1/2) = 2 i 2/6 - 1 i 3/6 = 1 i 8/6 - 1 i 3/6 = 5/6

5 i 1/6 :  (12 * (1 i 5/6 + 3/4)) = 5 i 1/6 : (12 * (1 i 10/12 + 9/12) = 5 i 1/6 : (12 * 1 i 19/12) = 5 i 1/6 : (12 * 31/12) = 5 i 1/6 : 31 = 31/6 : 31 = 31/6 * 1/31 = 1/6

14.

[tex]a)\\\\(2\frac{2}{3}\cdot\frac{7}{8}-1\frac{1}{2}):\frac{4}{9} = (\frac{8}{3}\cdot\frac{7}{8}-\frac{3}{2})\cdot\frac{9}{4}=(\frac{7}{3}-\frac{3}{2})\cdot\frac{9}{4} = (\frac{14}{6}-\frac{9}{6})\cdot\frac{9}{4} =\frac{5}{6}\cdot\frac{9}{4} = \frac{5}{2}\cdot\frac{3}{4} =\frac{15}{8} =1\frac{7}{8}[/tex]

[tex]b)\\\\5\frac{1}{6}:[12\cdot(1\frac{5}{6}+\frac{3}{4})] = \frac{31}{6}:[12\cdot(\frac{11}{6}+\frac{3}{4})] = \frac{31}{6}:[12\cdot(\frac{22}{12}+\frac{9}{12})] = \frac{31}{6}:(12\cdot\frac{31}{12})=\\\\=\frac{31}{6}:31=\frac{31}{6}\cdot\frac{1}{31} = \frac{1}{6}[/tex]