Question

Efectuați:

a) 4/63+1/18- (2/5)² · 5/7=
b) (1+3/2· 5/2):6-1=
c) (12/35-7/20) · (-1-1/6)=
d) (6/32+5/24) · 30/39-1/8=
e) 3-2: (5/8· 12/15) + (1/3)²=
f) 5/6:1/3: (12/8-5/6)=
g) 3/4 - 1/12: 1/4- (4/3-1/2)=
h) 4/3: 2/9- (2- 3/4)=
i) 8/3-(14/20-1/15):3/10-8/15=
j) 6/24+1/6-(15/6-3):3/2=

Answer 1

a) 4/63+1/18- (2/5)² · 5/7=8/126+7/126- 4/25 · 5/7=15/126- 4/35=5/42- 4/35=
=(25-24)/210=1/210

 b) (1+3/2· 5/2):6-1=(1+15/4)×1/6-1=19/4×1/6-1=19/24-1=-5/24

c) (12/35-7/20) · (-1-1/6)=(48/140-49/140) · (-7/6)=(-1/140)· (-7/6)=1/120
d) (6/32+5/24) · 30/39-1/8=(3/16+5/24) · 30/39-1/8=
=(9/48+10/48) · 10/13-1/8=
=19/48· 10/13-1/8=190/624-1/8=112/624=7/39

 e) 3-2: (5/8· 12/15) + (1/3)²=3-2: 1/2 + 1/9=3-2 ×2 + 1/9= -1+1/9=-8/9

f) 5/6:1/3: (12/8-5/6)=5/6×3 : (3/2-5/6)=5/2:(9/6-5/6)=5/2:4/6=5/2×3/2=15/4

g) 3/4 - 1/12: 1/4- (4/3-1/2)=3/4 - 1/12×4- (8/6-3/6)=3/4 -1/3- 5/6=
=9/12 -4/12- 10/12=-5/12
 
h) 4/3: 2/9- (2- 3/4)=4/3 ×9/2- 5/4=6- 5/4=19/4

 i) 8/3-(14/20-1/15):3/10-8/15=8/3-(7/10-1/15) ×10/3-8/15=
=8/3-(21/30-2/30) ×10/3-8/15=8/3-19/9-8/15=120/45-95/45-24/45=1/45

j)6/24+1/6-(15/6-3):3/2= 1/4+1/6-(-3/6) ×2/3= 1/4+1/6+1/3= =3/12+2/12+4/12= =9/12=3/4