Odpowiedź:
Zad.1
a)
2 i 2/3:6/7=
= 8/3 : 6/7=
= 8/3 * 7/6 = (skracam ułamki)
= 4/3 * 7/3=
= 28/9 =
= 3 i 1/9
b)
4 i 1/3:3/5=
= 13/3 : 3/5=
= 13/3 * 5/3=
= 65/9=
= 7 i 2/9
c)
3 i 3/4:2/3=
= 15/4 : 2/3=
= 15/4 * 3/2=
= 45/8 =
= 5 i 5/8
d)
1 i 1/2:1 i 2/3=
= 3/2 : 5/3=
= 3/2 * 3/5=
= 9/10
e)
4/5:1 i 1/6=
= 4/5 : 7/6=
= 4/5 * 6/7=
= 24/35
f)
9/20:2 i 5/7=
= 9/20 : 19/7=
= 9/20 * 7/19 =
= 63/380
Zad.2
a)
15/18:3/8=
= 15/18 * 8/3= (skracam ułamki)
= 5/9 * 4/1=
= 20/9 =
= 2 i 2/9
b)
4/5:3/10=
= 4/5 * 3/10 = (skracam ułamki)
= 2/5 * 3/5=
= 6/25
c)
49/6:7/8=
= 49/6 * 8/7 = (skracam ułamki)
= 7/3 * 4/1=
= 28/3=
= 9 i 1/3
d)
4 i 4/9:2 i 2/3=
= 40/9 : 8/3=
= 40/9 * 3/8 = (skracam ułamki)
= 5/3 * 1/1 =
= 5/3=
= 1 i 2/3
e)
1 i 1/5:3 i 3/4=
= 6/5 : 15/4=
= 6/5 * 4/15= (skracam ułamki)
= 2/5 * 4/5 =
= 8/25
f)
5:7 i 1/2=
= 5 : 15/2=
= 5 * 2/15= (skracam ułamki)
= 1 * 2/3=
= 2/3
Szczegółowe wyjaśnienie: