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zad. 3 Oblicz:
1. [tex]3 \frac{1}{4} +2 \frac{2}{5} -(4\frac{1}{3} -2 \frac{2}{3} )=[/tex]

2. [tex][2^{-1} + (\frac{1}{3} } )^{-1} ] ^{-2} =[/tex]

3. [tex]( 4 \frac{1}{3} -2 \frac{2}{5} )-(6 \frac{3}{5}-5 \frac{2}{3} )=[/tex]


Odpowiedź :

Odpowiedź:

1.

3 i 1/4 + 2 i 2/5 - (4 i 1/3 - 2 i 2/3) =

= 3 i 5/20 + 2 i 8/20 - (3 i 4/3 - 2 i 2/3) =

= 5 i 13/20 - 1 i 2/3 =

= 5 i 3/60 - 1 i 40/60 =

= 4 i 63/60 - 1 i 40/60 =

= 3 i 23/60

2.

[2⁻¹  +  (1/3)⁻¹ ] ⁻ ² =

= [ 1/2 + 3] ⁻² =

= [ 3 i 1/2] ⁻² =

= [7/2]⁻²=

= [2/7]² =

= 4/49

3.

(4 i 1/3 - 2 i 2/5) - (6 i 3/5 - 2 i 2/3) =

= (4 i 5/15 - 2 i 6/15) - (6 i 9/15 - 2 i 10/15)=

= (3 i 20/15 - 2 i 6/15) - (5 i 24/15 - 2 i 10/15) =

= 1 i 14/15 - 3 i 14/15 =

= - 2

Szczegółowe wyjaśnienie: