Question

Zad 1. Oblicz jak najprościej.
a)4/5+1-cała 2/3+3/5+1/3=(4/5+3/5)+(1-cała 2/3+1/3)=
b)1-cała+4/7+ 3-całe5/7 + 2-całe 1/4=
c)1-cała1/3+2-całe5/9=2-całe1/3+1-cała7/9=
d)5/8+1-cała3/4+1-cała2/8+1/8+2-całe1/4=
plska ;/ daje naj

Answer 1

A)
4/5 + 1 i 2/3 + 3/5 +1/3=

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

= 7/5 + 2=

= 1 i 2/5 + 2=

= 3 i 2/5



b)

1 + 4/7 + 3 i 5/7 + 2 i 1/4=

= (4/7 + 3 i 5/7) + 2 i 1/4 + 1=

= 3 i 9/7 + 2 i 1/4=

= 4 i 2/7 + 2 i 1/4=

= 4 i 8/28 + 2 i 7/28=

= 6 i 15/28




c)

1 i 1/3 + 2 i 5/9 + 2 i 1/3 + 1 i 7/9 =

= (1 i 1/3 + 2 i 1/3) + (2 i 5/9 + 1 i 7/9)=

= 3 i 2/3 + 3 i 12/9=

= 3 i 2/3 + 4 i 3/9 =

= 3 i 2/3 + 4 i 1/3=

= 7 i 3/3=

= 8




d)

5/8 + 1 i 3/4 + 1 i 2/8 + 1/8 + 2 i 1/4=

= (5/8 + 1 i 2/8 + 1/8) + (1 i 3/4 + 2 i 1/4)=

= 2 i 8/8 + 3 i 4/4=

= 3 i 4=

= 7