Oblicz. a) 1 2/3 • 1,8 + 3 4/9 = b) 3 2/5 : 1,7 + 4/7 • 2 1/3 = c) ( 6 2/7 • 1,75 + 8,2 ) • 3/4 - ( 2/3 ) do potęgi 2 =

Odpowiedź :

Odpowiedź:

a)

1 i 2/3 * 1,8 + 3 i 4/9 =

= 5/3 * 1 i 8/10 + 3 i 4/9 =

= 5/3 * 18/10 + 3 i 4/9 =

= 1/1 * 6/2 + 3 i 4/9 =

= 6/2 + 3 i 4/9 =

= 3 + 3 i 4/9 =

= 6 i 4/9

b)

3 i 2/5 : 1,7 + 4/7 * 2 i 1/3 =

= 17/5 : 1 i 7/10 + 4/7 * 7/3 =

= 17/5 : 17/10 + 4/1 * 1/3 =

= 17/5 * 10/17 + 4/3 =

= 1/1 * 2/1 + 1 i 1/3=

= 2/1 + 1 i 1/3 =

= 2 + 1 i 1/3 =

= 3 i 1/3

c)

( 6 i 2/7 * 1,75 + 8,2 ) * 3/4 - ( 2/3 )²=

= (44/7 * 1 i 75/100 + 8 i 2/10) * 3/4 - 4/9 =

= (44/7 * 1 i 3/4 + 8 i 2/10) * 3/4 - 4/9 =

= (44/7 * 7/4 + 8 i 1/5) * 3/4 - 4/9 =

= (11/1 * 1/1 + 8 i 1/5)* 3/4 - 4/9 =

= (11 + 8 i 1/5) * 3/4 - 4/9 =

= 19 i 1/5 * 3/4 - 4/9 =

= 96/5 * 3/4 - 4/9 =

= 24/5 * 3/1 - 4/9=

= 72/5 - 4/9 =

= 14 i 2/5 - 4/9 =

= 14 i 18/45 - 20/45 =

= 13 i 43/45

Szczegółowe wyjaśnienie: