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13. Efectuați calculele:
a. 1,8(3)+(-5,2+5 supra 6)+[0,41(6)+(-2)]
b. -13 supra 24+[(+11 supra 36)+(-1 supra 48)]+7 supra 40
c. [(-24 supra 35)+(-1 întreg 3 supra 14)]+[-1+(-16 supra 15)+189 supra 45]​
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Răspuns :

Răspuns:

a. 1,8(3)+(-5,2+5 supra 6)+[0,41(6)+(-2)]

1,8(3)+(-5,2+5/6)+[0,41(6)+(-2)]

=(183-18)/90+(-52/10+5/6)+[(416-41)/900-2]

=165/90+(26/5+5/6)+(375/900-2)

=55/30+(26×6/30+5×5/30)+(125/300-2)

=55/30+(156+25)/30+(125-600)/300

=55/30+181/30-475/300

=236/30-475/300

=(2360-475)/300

=1885/300

=377/60

=6,28(3)

b. -13 supra 24+[(+11 supra 36)+(-1 supra 48)]+7 supra 40

=-13/24+(11/36-1/48)+7/40

=-13/24+[(11×4)/144-3/144]+7/40

=-13/24+(44-3)/144+7/40

=-13/24+41/144+7/40

=(13×5+7×3)/120+41/144

=(65+21)/120+41/144

=86/120+41/144

=(86×12+41×10)/144×10

=(1032+410)/1440

=1442/1440

=1,0013888889

c. [(-24 supra 35)+(-1 întreg 3 supra 14)]+[-1+(-16 supra 15)+189 supra 45)

=[-24/15-(1×14+3)/14]+(-1-16/15+189/45)

=(-8/5-17/14)+(-1-16/15+21/5)

=(-8×14-17×5)/70+(-15-16+3×21)/15

=(-112-85)/70+(-31+63)/15

=-197/70+32/15

=(-3×197+14×32)/14×15

=(-591+448)/210

=-143/210

=-0,680952381