Odpowiedź:
A) (3/10)³ = 3³/10³ = 27/1000 = 0,027
b) 166,375 = 166 + 375/1000 = 166 + 3/8 = 166 całych i 3/8
c) = 121/64 = 64/64 + 57/64 = 1 + 57/64 = jedna cała i 57/64
d) 3 1/5 : 12 = (15/5 + 1/5) : 12 = 16/5 :12 = (16/5)*1/12 = 16/60 = 4/15
e) 25/6 : 3/2 = 25/6 * 2/3 = 50/18 = 25/9 = 2 + 7/9 (dwie całe i 7/9
f) 5/6 : 10 + 1 3/4 : 3 = 5/6 *1/10 + (4/4 + 3/4) : 3 = 5/60 + 7/4 *1/3 =
= 5/60 + 7/12 = 5/60 + 35/60 = 40/60 = 4/6 = 2/3
Szczegółowe wyjaśnienie:
A) (3/10) ³=
b) (1 1/2)³=
c) (2 3/4 - 1 1/2)² :4=
d) 3 1/5 : 12 =
e) 4 1/6 : 1 1/2=
f) 5/6 : 10 + 1 3/4 : 3=
A) (3/10)³ = 3³/10³ = 27/1000 = 0,027
b) (1 1/2)³ = 11³/2³ = 1331/8 = 166,375 = 166 + 375/1000 = 166 + 3/8
= 166 całych i 3/8
c) (2 3/4 - 1 1/2)² : 4 = [(2 + 3/4) - 22/4]² : 4 = [8/4 + 3/4 - 22/4]² : 4 =
= [-11/4]² : 4 = [121/16]*1/4 = 121/64 = 64/64 + 57/64 = 1 + 57/64
(jedna cała i 57/64)
d) 3 1/5 : 12 = (15/5 + 1/5) : 12 = 16/5 :12 = (16/5)*1/12 = 16/60 = 4/15
e) 4 1/6 : 1 1/2 = (24/6 + 1/6) : (2/2 + 1/2) = 25/6 : 3/2 = 25/6 * 2/3 = 50/18 =
= 25/9 = 2 + 7/9 (dwie całe i 7/9
f) 5/6 : 10 + 1 3/4 : 3 = 5/6 *1/10 + (4/4 + 3/4) : 3 = 5/60 + 7/4 *1/3 =
= 5/60 + 7/12 = 5/60 + 35/60 = 40/60 = 4/6 = 2/3
