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a) 3,775 + 4 1/6 - 2 2/3 = 3775/1000+25/6-8/3= 151/40+25/6-8/3=
=906/240+1000/240-8/3= 1906/240-8/3= 953/120-8/3= 2859/360-960/360= 1899/360=211/40= 5 11/40
b) 10 2/3 - 4 7/8+ 5/6 =32/3-39/8+5/6=256/24-117/24+5/6=139/24+5/6=
=834/144+120/144=954/144=53/8=6 5/8
c) 5,25 - 2 2/3 - 1 5/6= 525/100-8/3-11/6=21/4-8/3-11/6=63/12-32/12-11/6=
=31/12-11/6=186/72-132/72=54/72=3/4
d) 4,5 + 6 3/4 - ( 12 - 5 3/8)=45/10+27/4-(12-43/8)=9/2+27/4-(96/8-43/8)=
=9/2+27/4-53/8=36/8+54/8-53/8=90/8-53/8=45/4-53/8=360/32-212/32=148/32=
=37/8= 4 5/8
e) 8 1/2 - 1,75 - ( 1 3/4 + 1 2/3 ) =17/2-175/100-(7/4+5/3)=17/2-7/4-(21/12+20/12)=
=17/2-7/4-41/12=68/8-14/8-41/12=54/8-41/12=27/4-41/12=324/48-164/48=
=160/48=10/3=3 1/3
f) 4 5/6 + 2,5 - 3 2/3 + 5 1/12 =29/6+25/10-11/3+61/12=29/6+5/2-11/3+61/12=
=58/12+30/12-132/36+183/36=88/12-315/36=22/3-35/4=88/12-105/12=-17/12= -1 5/12
Zad 5. Wykonaj działania .
a) 0,2 x 5/6 x 3 = 2/10*5/6*3=1/5*5/6*3=1/2
b) 4 3/8 x 3 x 1 1/7 = 35/8*3*8/7=15
c) 4,2 x 2 6/7 x 2 8/9 =42/10*20/7*26/9=21/5*20/7*26/9=104/3= 34 2/3
d) 5/6 : 1,5 : 10/9 =5/6:15/10:10/9=5/6:3/2:10/9=5/6*2/3*9/10=1/2
e) 1 13/15 : 1 1/5 : 14 =28/15:6/5:14=28/15*5/6*1/14=1/9
f) 5/7 : 1,75 : 1 1/14 =5/7:175/100:15/14=5/7:7/4:15/14=5/7*4/7*14/15=8/21