Oblicz:
a) (3,75+1i3/8):2
b) (1,25 - 2i2/3)*6
c) -1,6: 3i11/15+1i3/14
d) (0,3+4/5):(6i1/15-2/3)
e) 1,6-2/3
---------
1,6*2/3
f) 4,8 2i1/4
-------- - --------
1i1/15 5,4
Np. 1i1/15 (Jeden i jedna piętnasta) Ta kreska "/" oznacza ułamek
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a) (3,75+1i3/8):2 - zamineiam na ułamki zwykłe
(3 i 3/4 + 11/8):2 = (15/4+11/8):2 = (30/8+11/8):2 = 41/8 : 2 = 41/8 *1/2 = 41/16 = 2 i 9/16
b) (1,25 - 2i2/3)*6 = (1 cała i 1/4 - 8/3) *6 = (5/4-8/3)*6 = (15/12 -32/12)*6 = -17/12*6 = -102/12 = - 8 i 1/2
c) -1,6: 3i11/15+1i3/14 = -16/10 * 15/11 + 17/14 = -240/110 + 17/14 = -1680/770 + 935/770 = -745/770
d) (0,3+4/5):(6i1/15-2/3) = (3/10 + 8/10):(91/15-10/15) = 11/10 * 15/81 = 11/2 * 3/81 = 33/162
e) 1,6-2/3 61/10 -2/3 183/30 - 20/30 163/30
--------- = --------------- = ------------------- = ------------ = 163/30 * 15/61 =
1,6*2/3 61/10 *2/3 61/5 * 1/3 61/15
163/2 * 1/61 = 163/122
f) 4,8 2i1/4 48/10 9/4
-------- - -------- = ----------- - ------- = ( 48/10 * 15/16) - (9/4 * 10/54) =
1i1/15 5,4 16/15 54/10
3/2 * 3 - 1/4*10/6 = 9/2 - 10/24 = 9/2 - 5/12 = 54/12 - 5/12 = 49/12 = 4 całe i 1/12
Pozdrawiam